{"id":125,"date":"2021-12-14T16:06:59","date_gmt":"2021-12-14T21:06:59","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/?post_type=chapter&#038;p=125"},"modified":"2024-01-09T17:32:45","modified_gmt":"2024-01-09T22:32:45","slug":"testing-phantom","status":"web-only","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/chapter\/testing-phantom\/","title":{"raw":"Testing phantom","rendered":"Testing phantom"},"content":{"raw":"[latexpage]\r\n\r\n&nbsp;\r\n\r\n\\(\\begin{array}{ccccccc}{\\text{front}}=L\\timesW\\hfill &amp; &amp; &amp; {\\text{side}}=L\\timesW\\hfill &amp; &amp; &amp; {\\text{top}}=L\\timesW\\hfill \\\\ {\\text{front}}=4\\cdot3\\hfill &amp; &amp; &amp; {\\text{side}}=2\\cdot3\\hfill &amp; &amp; &amp; {\\text{top}}=4\\cdot2\\hfill \\\\ {\\text{front}}=12\\hfill &amp; &amp; &amp; {\\text{side}}=6\\hfill &amp; &amp; &amp; {\\text{top}}=8\\hfill \\end{array}\\)\r\n\r\n\\(\\begin{array}{ccccccc}{A}_{\\text{front}}=L\\timesW\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=L\\timesW\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=L\\timesW\\hfill \\\\ {A}_{\\text{front}}=4\\cdot3\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=2\\cdot3\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=4\\cdot2\\hfill \\\\ {A}_{\\text{front}}=12\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=6\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=8\\hfill \\end{array}\\)\r\n\r\n\\(96\u00b0\\)\u00b0\r\n\r\n&nbsp;\r\n\r\n\\(1\\)\\(1\\phantom{\\rule{1.5em}{0ex}}\\)\r\n\r\n\\(2\\)\\(2\\phantom{\\rule{1.5em}{0ex}}\\)\r\n\r\n\\(3\\)\\(3\\phantom{\\rule{1.5em}{0ex}}\\)\r\n\r\n\\(a\\)\\(a\\phantom{\\rule{1.5em}{0ex}}\\)\r\n\r\n\u2022\u00b7\r\n\r\n&nbsp;\r\n\r\nThe expressions &lt; \\(a&lt;b \\text{ and } a\\phantom{\\rule{0.2em}{0ex}}\\) &gt; \\(b{\\rule{0.2em}{0ex}}\\)\r\n\r\n\\(and \\text{ and}\\) \\(\\text{and} \\phantom{\\rule{0.2em}{0ex}}\\)\r\n\r\n&nbsp;\r\n<p class=\"p1\">The expressions \\(a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{and}\\phantom{\\rule{0.2em}{0ex}}a\\) &gt; \\(\\phantom{\\rule{0.2em}{0ex}}b\\) can be read from left-to-right or right-to-left, though in English we usually read from left-to-right. In general,<\/p>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n\\(\\begin{array}{l}a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&gt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}7&lt;11\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}11&gt;7.\\hfill \\\\ a&gt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&lt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}17&gt;4\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}4&lt;17.\\hfill \\end{array}\\)\r\n<p class=\"p1\">\\(\\begin{array}{l}a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&gt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}7&lt;11\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}11&gt;7.\\hfill \\\\ a&gt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&lt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}17&gt;4\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}4&lt;17.\\hfill \\end{array}\\)<\/p>","rendered":"<p>[latexpage]<\/p>\n<p>&nbsp;<\/p>\n<p>\\(\\begin{array}{ccccccc}{\\text{front}}=L\\timesW\\hfill &amp; &amp; &amp; {\\text{side}}=L\\timesW\\hfill &amp; &amp; &amp; {\\text{top}}=L\\timesW\\hfill \\\\ {\\text{front}}=4\\cdot3\\hfill &amp; &amp; &amp; {\\text{side}}=2\\cdot3\\hfill &amp; &amp; &amp; {\\text{top}}=4\\cdot2\\hfill \\\\ {\\text{front}}=12\\hfill &amp; &amp; &amp; {\\text{side}}=6\\hfill &amp; &amp; &amp; {\\text{top}}=8\\hfill \\end{array}\\)<\/p>\n<p>\\(\\begin{array}{ccccccc}{A}_{\\text{front}}=L\\timesW\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=L\\timesW\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=L\\timesW\\hfill \\\\ {A}_{\\text{front}}=4\\cdot3\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=2\\cdot3\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=4\\cdot2\\hfill \\\\ {A}_{\\text{front}}=12\\hfill &amp; &amp; &amp; {A}_{\\text{side}}=6\\hfill &amp; &amp; &amp; {A}_{\\text{top}}=8\\hfill \\end{array}\\)<\/p>\n<p>\\(96\u00b0\\)\u00b0<\/p>\n<p>&nbsp;<\/p>\n<p>\\(1\\)\\(1\\phantom{\\rule{1.5em}{0ex}}\\)<\/p>\n<p>\\(2\\)\\(2\\phantom{\\rule{1.5em}{0ex}}\\)<\/p>\n<p>\\(3\\)\\(3\\phantom{\\rule{1.5em}{0ex}}\\)<\/p>\n<p>\\(a\\)\\(a\\phantom{\\rule{1.5em}{0ex}}\\)<\/p>\n<p>\u2022\u00b7<\/p>\n<p>&nbsp;<\/p>\n<p>The expressions &lt; \\(a&lt;b \\text{ and } a\\phantom{\\rule{0.2em}{0ex}}\\) &gt; \\(b{\\rule{0.2em}{0ex}}\\)<\/p>\n<p>\\(and \\text{ and}\\) \\(\\text{and} \\phantom{\\rule{0.2em}{0ex}}\\)<\/p>\n<p>&nbsp;<\/p>\n<p class=\"p1\">The expressions \\(a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{and}\\phantom{\\rule{0.2em}{0ex}}a\\) &gt; \\(\\phantom{\\rule{0.2em}{0ex}}b\\) can be read from left-to-right or right-to-left, though in English we usually read from left-to-right. In general,<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>\\(\\begin{array}{l}a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&gt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}7&lt;11\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}11&gt;7.\\hfill \\\\ a&gt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&lt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}17&gt;4\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}4&lt;17.\\hfill \\end{array}\\)<\/p>\n<p class=\"p1\">\\(\\begin{array}{l}a&lt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&gt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}7&lt;11\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}11&gt;7.\\hfill \\\\ a&gt;b\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}b&lt;a.\\phantom{\\rule{2em}{0ex}}\\text{For example,}\\phantom{\\rule{0.2em}{0ex}}17&gt;4\\phantom{\\rule{0.2em}{0ex}}\\text{is equivalent to}\\phantom{\\rule{0.2em}{0ex}}4&lt;17.\\hfill \\end{array}\\)<\/p>\n","protected":false},"author":940,"menu_order":1,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-125","chapter","type-chapter","status-web-only","hentry"],"part":103,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapters\/125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/wp\/v2\/users\/940"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapters\/125\/revisions"}],"predecessor-version":[{"id":126,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapters\/125\/revisions\/126"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/parts\/103"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapters\/125\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/wp\/v2\/media?parent=125"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/pressbooks\/v2\/chapter-type?post=125"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/wp\/v2\/contributor?post=125"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/hfriedman\/wp-json\/wp\/v2\/license?post=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}