{"id":1379,"date":"2019-06-19T16:37:24","date_gmt":"2019-06-19T20:37:24","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1379"},"modified":"2020-01-04T14:05:21","modified_gmt":"2020-01-04T19:05:21","slug":"answer-key-4-3","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-4-3\/","title":{"raw":"Answer Key 4.3","rendered":"Answer Key 4.3"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \\(\\begin{array}{rrcrrr}\r\n-3& <& x& <& 3& \\hspace{0.25in} \\text{Interval notation: } (-3,3)\r\n\\end{array}\\)\u00a0\"(-3,3)\"<\/li>\r\n \t
  2. \\(\\begin{array}{rrcrrr}\r\n-8& \\le& x& \\le& 8 & \\hspace{0.25in} \\text{Interval notation: } [-8,8]\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  3. \\(\\begin{array}{rrcrrr}\r\n\\\\ \\\\ \\\\\r\n\\dfrac{-6}{2}&<&\\dfrac{2x}{2}&<&\\dfrac{6}{2}& \\\\ \\\\\r\n-3&<&x&<&3& \\hspace{0.25in} \\text{Interval notation: } (-3,3)\r\n\\end{array}\\)\u00a0\"Numerline<\/li>\r\n \t
  4. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\\r\n-4&<&x&+&3&<&4& \\\\\r\n-3&&&-&3&&-3& \\\\\r\n\\midrule\r\n-7&<&&x&&<&1& \\hspace{0.25in} \\text{Interval notation: } (-7,1)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  5. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\\r\n-6&<&x&-&2&<&6& \\\\\r\n+2&&&+&2&&+2& \\\\\r\n\\midrule\r\n-4&<&&x&&<&8& \\hspace{0.25in} \\text{Interval notation: } (-4,8)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  6. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\\r\n-12&<&x&-&8&<&12& \\\\\r\n+8&&&+&8&&+8& \\\\\r\n\\midrule\r\n-4&<&&x&&<&20& \\hspace{0.25in} \\text{Interval notation: } (-4,20)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  7. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\\r\n-3&<&x&-&7&<&3& \\\\\r\n+7&&&+&7&&+7& \\\\\r\n\\midrule\r\n4&<&&x&&<&10& \\hspace{0.25in} \\text{Interval notation: } (4,10)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  8. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\\r\n-4&\\le &x&+&3&\\le &4& \\\\\r\n-3&&&-&3&&-3& \\\\\r\n\\midrule\r\n-7&\\le &&x&&\\le &1& \\hspace{0.25in} \\text{Interval notation: } [-7,1]\r\n\\end{array}\\)\u00a0\u00a0\"Numberline<\/li>\r\n \t
  9. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n-9&<&3x&-&2&<&9& \\\\\r\n+2&&&+&2&&+2& \\\\\r\n\\midrule\r\n\\dfrac{-7}{3}&<&&\\dfrac{3x}{3}&&<&\\dfrac{11}{3}&\\\\ \\\\\r\n-\\dfrac{7}{3}&<&&x&&<&\\dfrac{11}{3}& \\hspace{0.25in} \\text{Interval notation: } (-\\dfrac{7}{3},\\dfrac{11}{3})\r\n\\end{array}\\)\u00a0\u00a0\"Numberline<\/li>\r\n \t
  10. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\\r\n-9&<&2x&+&5&<&9& \\\\\r\n-5&&&-&5&&-5& \\\\\r\n\\midrule\r\n\\dfrac{-14}{2}&<&&\\dfrac{2x}{2}&&<&\\dfrac{4}{2}&\\\\ \\\\\r\n-7&<&&x&&<&2& \\hspace{0.25in} \\text{Interval notation: } (-7,2)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  11. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n1&+&2|x&-&1|&\\le & 9 \\\\\r\n-1&&&&&&-1 \\\\\r\n\\midrule\r\n&&\\dfrac{2}{2}|x&-&1|&\\le & \\dfrac{8}{2} \\\\ \\\\\r\n&&|x&-&1|&\\le & 4 \\\\\r\n-4&\\le &x&-&1&\\le & 4 \\\\\r\n+1&&&+&1&\\le &+1 \\\\\r\n\\midrule\r\n-3&\\le &&x&&\\le &5& \\hspace{0.25in} \\text{Interval notation: } [-3,5]\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  12. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n10&-&3|x&-&2|&\\ge & 4 \\\\\r\n-10&&&&&&-10 \\\\\r\n\\midrule\r\n&&\\dfrac{-3}{-3}|x&-&2|&\\ge & \\dfrac{-6}{-3} \\\\ \\\\\r\n&&|x&-&2|&\\le & 2 \\\\\r\n-2&\\le &x&-&2&\\le & 2 \\\\\r\n+2&&&+&2&&+2 \\\\\r\n\\midrule\r\n0&\\le &&x&&\\le &4& \\hspace{0.25in} \\text{Interval notation: } [0,4]\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  13. \\(\\begin{array}{rrrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n6&-&|2x&-&5|&>&3& \\\\\r\n-6&&&&&&-6& \\\\\r\n\\midrule\r\n&&(-|2x&-&5|&>&-3)&(-1) \\\\\r\n&&|2x&-&5|&<&3& \\\\\r\n-3&<&2x&-&5&<&3& \\\\\r\n+5&&&+&5&&+5& \\\\\r\n\\midrule\r\n\\dfrac{2}{2}&<&&\\dfrac{2x}{2}&&<&\\dfrac{8}{2}& \\\\ \\\\\r\n1&<&&x&&<&4& \\hspace{0.25in} \\text{Interval notation: } (1,4)&\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  14. \\(\\begin{array}{rrcrrrrrr}\r\nx& <&-5&\\text{or}&5&<&x& \\hspace{0.25in} \\text{Interval notation: } (-\\infty,-5)\\cup (5, \\infty)\r\n\\end{array}\\)\u00a0\"Numberline<\/li>\r\n \t
  15. \\(\\begin{array}{rrrrrrrr}\r\n\\\\ \\\\ \\\\\r\n\\dfrac{3x}{3}&<&\\dfrac{-5}{3}&\\text{or}&\\dfrac{5}{3}&<&\\dfrac{3x}{3}& \\\\ \\\\\r\nx&<&-\\dfrac{5}{3}&\\text{or}&\\dfrac{5}{3}&<&x&\\text{Interval notation: } (-\\infty, -\\dfrac{5}{3})\\cup (\\dfrac{5}{3}, \\infty) \\\\\r\n\\end{array}\\)\u00a0\"(-<\/li>\r\n \t
  16. \\(\\begin{array}{rrrrrrrrrrrr}\r\n\\\\ \\\\\r\nx&-&4&<&-5&\\text{or}&5&<&x&-&4& \\\\\r\n&+&4&&+4&\\text{or}&+4&&&+&4& \\\\\r\n\\midrule\r\n&&x&<&-1&\\text{or}&9&<&x&&&\\text{Interval notation: } (-\\infty, -1)\\cup (9, \\infty)\\\\\r\n\\end{array}\\)\u00a0\"(-<\/li>\r\n \t
  17. \\(\\begin{array}{rrrrrrrrrrrr}\r\n\\\\ \\\\\r\nx&+&3&<&-3&\\text{or}&3&<&x&+&3& \\\\\r\n&-&3&&-3&\\text{or}&-3&&&-&3& \\\\\r\n\\midrule\r\n&&x&<&-6&\\text{or}&0&<&x&&&\\text{Interval notation: } (-\\infty, -6)\\cup (0, \\infty)\\\\\r\n\\end{array}\\)\u00a0\"(-<\/li>\r\n \t
  18. \\(\\begin{array}{rrrrrrrrrrrr}\r\n\\\\ \\\\ \\\\ \\\\\r\n2x&-&4&<&-6&\\text{or}&6&<&2x&-&4& \\\\\r\n&+&4&&+4&&+4&&&+&4& \\\\\r\n\\midrule\r\n&&\\dfrac{2x}{2}&<&\\dfrac{-2}{2}&&\\dfrac{10}{2}&<&\\dfrac{2x}{2}&&& \\\\ \\\\\r\n&&x&<&-1&\\text{or}&5&<&x&&&\\text{Interval notation: } (-\\infty, -1)\\cup (5, \\infty)\\\\\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  19. \\(\\begin{array}{rrrrrrrrrrrr}\r\n\\\\ \\\\ \\\\\r\nx&-&5&<&-3&\\text{or}&3&<&x&-&5& \\\\\r\n&+&5&&+5&&+5&&&+&5& \\\\\r\n\\midrule\r\n&&x&<&2&\\text{or}&8&<&x&&&\\text{Interval notation: } (-\\infty, 2)\\cup (8, \\infty)\\\\\r\n\\end{array}\\)\u00a0 HAVE TO ADD 2\u00a0 \u00a02\u00a0 etc.\r\n\u00a0\"(1,<\/span><\/li>\r\n \t
  20. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n3&-|2&-&x|&<&1&&&&&\\\\\r\n-3&&&&&-3&&&&&\\\\\r\n\\midrule\r\n&(-|2&-&x|&<&-2)&(-1)&&&&\\\\\r\n&|2&-&x|&>&2&&&&&\\\\ \\\\\r\n2&-&x&<&-2&\\text{or}&2&<&2&-&x\\\\\r\n-2&&&&-2&&-2&&-2&&\\\\\r\n\\midrule\r\n&&-x&<&-4&\\text{or}&0&<&-x&&\\\\\r\n&&x&>&4&\\text{or}&0&>&x&&\\text{Interval notation: } (-\\infty, 0)\\cup (4, \\infty)\\\\\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  21. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n4&+&3|x&-&1|&<&10&&&&\\\\\r\n-4&&&&&&-4&&&&\\\\\r\n\\midrule\r\n&&\\dfrac{3}{3}|x&-&1|&<&\\dfrac{6}{3}&&&&\\\\ \\\\\r\n&&|x&-&1|&<&2&&&&\\\\ \\\\\r\nx&-&1&<&-2&\\text{or}&2&<&x&-&1\\\\\r\n&+&1&&+1&&+1&&&+&1\\\\\r\n\\midrule\r\n&&x&<&-1&\\text{or}&3&<&x&&\\text{Interval notation: } (-\\infty, -1)\\cup (3, \\infty)\\\\\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  22. \\(\\begin{array}{rrrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n3&-&2|3x&-&1|&\\ge &-7& \\\\\r\n-3&&&&&&-3& \\\\\r\n\\midrule\r\n&&\\dfrac{-2}{-2}|3x&-&1|&\\ge &\\dfrac{-10}{-2}& \\\\ \\\\\r\n&&|3x&-&1|&\\le &5& \\\\ \\\\ \\\\\r\n-5&\\le &3x&-&1& \\le & 5& \\\\\r\n+1&&&+&1&&+1& \\\\\r\n\\midrule\r\n\\dfrac{-4}{3}&\\le &&\\dfrac{3x}{3}&& \\le & \\dfrac{6}{3}& \\\\ \\\\\r\n-\\dfrac{4}{3}&\\le &&x&& \\le & 2 &\\text{Interval notation: } [-\\dfrac{4}{3}, 2]\r\n\\end{array}\\)\u00a0\"(-4\/3,<\/li>\r\n \t
  23. \\(\\begin{array}{rrrrrcrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n3&-&2|x&-&5|&\\le & -15&&&& \\\\\r\n-3&&&&&&-3&&&& \\\\\r\n\\midrule\r\n&&\\dfrac{-2}{-2}|x&-&5|&\\le & \\dfrac{-18}{-2}&&&& \\\\ \\\\\r\n&&|x&-&5|&\\ge & 9&&&& \\\\ \\\\\r\nx&-&5&\\le &-9&\\text{or}&9&\\le &x&-&5 \\\\\r\n&+&5&&+5&&+5&&&+&5 \\\\\r\n\\midrule\r\n&&x&\\le &-4&\\text{or}&14&\\le &x&&\\text{Interval notation: } (-\\infty, -4]\\cup [14, \\infty)\r\n\\end{array}\\)\u00a0\"(-<\/li>\r\n \t
  24. \\(\\begin{array}{rrcrrcrrrll}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n4&-&6|-6&-&3x|&\\le & -5&&&& \\\\\r\n-4&&&&&&-4&&&& \\\\\r\n\\midrule\r\n&&\\dfrac{-6}{-6}|-6&-&3x|&\\le &\\dfrac{-9}{-6}&&&& \\\\ \\\\\r\n&&|-6&-&3x|&\\ge &\\dfrac{3}{2}&&&& \\\\ \\\\ \\\\\r\n-6&-&3x&\\le &-\\dfrac{3}{2}&\\text{or}&\\dfrac{3}{2}&\\le &-6&-\\phantom{0}3x& \\\\ \\\\\r\n+6&&&&+6&&+6&&+6&& \\\\\r\n\\midrule\r\n&&\\dfrac{-3x}{-3}&\\le &\\dfrac{\\dfrac{9}{2}}{-3}&&\\dfrac{\\dfrac{15}{2}}{-3}&\\le &\\dfrac{-3x}{-3}&& \\\\ \\\\\r\n&&x&\\ge &-\\dfrac{3}{2}&\\text{or}&-\\dfrac{5}{2}&\\ge &x&\\text{Interval notation: } (-\\infty, -\\dfrac{5}{2}]\\cup [-\\dfrac{3}{2}, \\infty)& \\\\\r\n\\end{array}\\)\u00a0\"[-5\/2,<\/li>\r\n \t
  25. \\(\\begin{array}{rrrcrrrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n-2&-&3|4&-&2x|&\\ge & -8& \\\\\r\n+2&&&&&&+2& \\\\\r\n\\midrule\r\n&&\\dfrac{-3}{-3}|4&-&2x|&\\ge &\\dfrac{-6}{-3}& \\\\ \\\\\r\n&&|4&-&2x|&\\le &2& \\\\ \\\\ \\\\\r\n-2&\\le &4&-&2x&\\le &2& \\\\\r\n-4&&-4&&&&-4& \\\\\r\n\\midrule\r\n\\dfrac{-6}{-2}&\\le &&\\dfrac{-2x}{-2}&&\\le &\\dfrac{-2}{-2}& \\\\ \\\\\r\n3&\\ge &&x&&\\ge &1&\\text{Interval notation: } [1,3]\r\n\\end{array}\\)\u00a0\"[1,3]\"<\/li>\r\n \t
  26. \\(\\begin{array}{rrrcrcrr}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n-3&-&2|4x&-&5|&\\ge & 1& \\\\\r\n+3&&&&&&+3& \\\\\r\n\\midrule\r\n&&\\dfrac{-2}{-2}|4x&-&5|&\\ge &\\dfrac{4}{-2}& \\\\ \\\\\r\n&&|4x&-&5|&\\le &-2& \\\\ \\\\\r\n&&&&&\\uparrow&& \\\\\r\n&&&&&\\text{Cannot be true.}&&\\text{No solution.} \\\\\r\n\\end{array}\\)\u00a0\"Numerline<\/li>\r\n \t
  27. \\(\\begin{array}{rrrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n4&-&5|-2x&-&7|&<&-1&&&&& \\\\\r\n-4&&&&&&-4&&&&& \\\\\r\n\\midrule\r\n&&\\dfrac{-5}{-5}|-2x&-&7|&<&\\dfrac{-5}{-5}&&&&& \\\\ \\\\\r\n&&|-2x&-&7|&>&1&&&&& \\\\ \\\\ \\\\\r\n-2x&-&7&<&-1&\\text{or}&1&<&-2x&-&7& \\\\\r\n&+&7&&+7&&+7&&&+&7& \\\\\r\n\\midrule\r\n&&\\dfrac{-2x}{-2}&<&\\dfrac{6}{-2}&&\\dfrac{8}{-2}&<&\\dfrac{-2x}{-2}&&& \\\\ \\\\\r\n&&x&>&-3&\\text{or}&-4&>&x&&&\\text{Interval notation: } (-\\infty, -4)\\cup (-3, \\infty)\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  28. \\(\\begin{array}{rrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n-2&+&3|5&-&x|& \\le& 4& \\\\\r\n+2&&&&&&+2& \\\\\r\n\\midrule\r\n&&\\dfrac{3}{3}|5&-&x|& \\le&\\dfrac{6}{3}& \\\\ \\\\\r\n&&|5&-&x|& \\le&2& \\\\ \\\\\r\n-2&\\le &5&-&x&\\le &2& \\\\\r\n-5&&-5&&&&-5& \\\\\r\n\\midrule\r\n(-7&\\le &&-x&&\\le &-3)&(-1) \\\\\r\n7&\\ge &&x&&\\ge &3&\\text{Interval notation: } [3,7]\\\\\r\n\\end{array}\\)\u00a0\"[3,7]\"<\/li>\r\n \t
  29. \\(\\begin{array}{rrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n3&-&2|4x&-&5|&\\ge &1& \\\\\r\n-3&&&&&&-3& \\\\\r\n\\midrule\r\n&&\\dfrac{-2}{-2}|4x&-&5|&\\ge &\\dfrac{-2}{-2}& \\\\ \\\\\r\n&&|4x&-&5|&\\le &1& \\\\ \\\\\r\n-1&\\le &4x&-&5&\\le &1& \\\\\r\n+5&&&+&5&&+5& \\\\\r\n\\midrule\r\n\\dfrac{4}{4}&\\le &&\\dfrac{4x}{4}&&\\le &\\dfrac{6}{4}& \\\\ \\\\\r\n1&\\le &&x&&\\le &\\dfrac{3}{2}&\\text{Interval notation: } [1, \\dfrac{3}{2}]\r\n\\end{array}\\)\u00a0\"[2\/2,<\/li>\r\n \t
  30. \\(\\begin{array}{rrrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n-2&-&3|-3x&-&5|&\\ge &-5& \\\\\r\n+2&&&&&&+2& \\\\\r\n\\midrule\r\n&&\\dfrac{-3}{-3}|-3x&-&5|&\\ge &\\dfrac{-3}{-3}& \\\\ \\\\\r\n&&|-3x&-&5|&\\le &1& \\\\ \\\\\r\n-1&\\le &-3x&-&5&\\le &1& \\\\\r\n+5&&&+&5&&+5& \\\\\r\n\\midrule\r\n\\dfrac{4}{-3}&\\le &&\\dfrac{-3x}{-3}&&\\le &\\dfrac{6}{-3}& \\\\ \\\\\r\n-\\dfrac{4}{3}&\\ge &&x&&\\ge &-2&\\text{Interval notation: } [-2, -\\dfrac{4}{3}]\r\n\\end{array}\\)\u00a0\"[-6\/3,<\/li>\r\n \t
  31. \\(\\begin{array}{rrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n-5&-&2|3x&-&6|&<&-8&&&& \\\\\r\n+5&&&&&&+5&&&& \\\\\r\n\\midrule\r\n&&\\dfrac{-2}{-2}|3x&-&6|&<&\\dfrac{-3}{-2}&&&& \\\\ \\\\\r\n&&|3x&-&6|&>&\\dfrac{3}{2}&&&& \\\\ \\\\ \\\\\r\n3x&-&6&<&-\\dfrac{3}{2}&\\text{or}&\\dfrac{3}{2}&<&3x&-&6 \\\\ \\\\\r\n&+&6&&+6&&+6&&&+&6 \\\\\r\n\\midrule\r\n&&\\dfrac{3x}{3}&<&\\dfrac{\\dfrac{9}{2}}{3}&&\\dfrac{\\dfrac{15}{2}}{3}&<&\\dfrac{3x}{3}&& \\\\ \\\\\r\n&&x&<&\\dfrac{3}{2}&\\text{or}&5&<&x&&\\text{Interval notation: } (-\\infty, \\dfrac{3}{2})\\cup (5, \\infty)\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  32. \\(\\begin{array}{rrrrrrrrrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n6&-&3|1&-&4x|&<&-3&&&&& \\\\\r\n-6&&&&&&-6&&&&& \\\\\r\n\\midrule\r\n&&\\dfrac{-3}{-3}|1&-&4x|&<&\\dfrac{-9}{-3}&&&&& \\\\ \\\\\r\n&&|1&-&4x|&>&3&&&&& \\\\ \\\\\r\n1&-&4x&<&-3&\\text{or}&1&-&4x&>&3& \\\\\r\n-1&&&&-1&&-1&&&&-1& \\\\\r\n\\midrule\r\n&&-4x&<&-4&&&&-4x&>&2& \\\\\r\n&&x&>&1&&\\text{or}&&x&<&-\\dfrac{1}{2}&\\text{Interval notation: } (-\\infty, -\\dfrac{1}{2})\\cup (1, \\infty)\r\n\\end{array}\\)\u00a0\"(negative<\/li>\r\n \t
  33. \\(\\begin{array}{rrrcrrrl}\r\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\\r\n4&-&4|-2x&+&6|&>&-4& \\\\\r\n-4&&&&&&-4& \\\\\r\n\\midrule\r\n&&\\dfrac{-4}{-4}|-2x&+&6|&>&\\dfrac{-8}{-4}& \\\\ \\\\\r\n&&|-2x&+&6|&<&2& \\\\ \\\\\r\n-2&<&-2x&+&6&<&2& \\\\\r\n-6&&&-&6&&-6& \\\\\r\n\\midrule\r\n\\dfrac{-8}{-2}&<&&\\dfrac{-2x}{-2}&&<&\\dfrac{-4}{-2}& \\\\ \\\\\r\n4&>&&x&&>&2&\\text{Interval notation: } (2,4)\r\n\\end{array}\\)\u00a0\"(2,4)\"<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \"\begin{array}{rrcrrr}\u00a0\"(-3,3)\"<\/li>\n
    2. \"\begin{array}{rrcrrr}\u00a0\"Numberline<\/li>\n
    3. \"\begin{array}{rrcrrr}\u00a0\"Numerline<\/li>\n
    4. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    5. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    6. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    7. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    8. \"\begin{array}{rrrcrrrr}\u00a0\u00a0\"Numberline<\/li>\n
    9. \"\begin{array}{rrrcrrrr}\u00a0\u00a0\"Numberline<\/li>\n
    10. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    11. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    12. \"\begin{array}{rrrcrrrr}\u00a0\"Numberline<\/li>\n
    13. \"\begin{array}{rrrcrrrl}\u00a0\"Numberline<\/li>\n
    14. \"\begin{array}{rrcrrrrrr}\u00a0\"Numberline<\/li>\n
    15. \"\begin{array}{rrrrrrrr}\u00a0\"(-<\/li>\n
    16. \"\begin{array}{rrrrrrrrrrrr}\u00a0\"(-<\/li>\n
    17. \"\begin{array}{rrrrrrrrrrrr}\u00a0\"(-<\/li>\n
    18. \"\begin{array}{rrrrrrrrrrrr}\u00a0\"(negative<\/li>\n
    19. \"\begin{array}{rrrrrrrrrrrr}\u00a0 HAVE TO ADD 2\u00a0 \u00a02\u00a0 etc.
      \n\u00a0\"(1,<\/span><\/li>\n
    20. \"\begin{array}{rrrrrrrrrrl}\u00a0\"(negative<\/li>\n
    21. \"\begin{array}{rrrrrrrrrrl}\u00a0\"(negative<\/li>\n
    22. \"\begin{array}{rrrcrrrl}\u00a0\"(-4\/3,<\/li>\n
    23. \"\begin{array}{rrrrrcrrrrl}\u00a0\"(-<\/li>\n
    24. \"\begin{array}{rrcrrcrrrll}\u00a0\"[-5\/2,<\/li>\n
    25. \"\begin{array}{rrrcrrrr}\u00a0\"[1,3]\"<\/li>\n
    26. \"\begin{array}{rrrcrcrr}\u00a0\"Numerline<\/li>\n
    27. \"\begin{array}{rrrrrrrrrrrl}\u00a0\"(negative<\/li>\n
    28. \"\begin{array}{rrrrrrrl}\u00a0\"[3,7]\"<\/li>\n
    29. \"\begin{array}{rrrrrrrl}\u00a0\"[2\/2,<\/li>\n
    30. \"\begin{array}{rrrcrrrl}\u00a0\"[-6\/3,<\/li>\n
    31. \"\begin{array}{rrrrrrrrrrl}\u00a0\"(negative<\/li>\n
    32. \"\begin{array}{rrrrrrrrrrrl}\u00a0\"(negative<\/li>\n
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