{"id":5,"date":"2022-06-07T18:37:39","date_gmt":"2022-06-07T18:37:39","guid":{"rendered":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/?p=5"},"modified":"2022-06-07T18:44:09","modified_gmt":"2022-06-07T18:44:09","slug":"chapter-1","status":"publish","type":"chapter","link":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/chapter\/chapter-1\/","title":{"raw":"Chapter 1 (original)","rendered":"Chapter 1 (original)"},"content":{"raw":"Activity 2.7.1 Linear Inequality Notation Matching Game\r\n\r\n
\r\n
\r\n[latex](-6,2)[\/latex]\r\n<\/div>
\r\n[latex](-5,1\\rbrack[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]\\lbrack1,8) [\/latex]\r\n<\/div>
\r\n[latex](-\\infty,-6)\\;\\cup\\;(2,\\infty)[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]\\{x\\vert x>5\\;and\\; x\\leq1\\}[\/latex]\r\n<\/div>
\r\n[latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]\\{x\\vert x\\leq-4\\;or\\;x>2\\}[\/latex]\r\n<\/div>
\r\n[latex](-\\infty,-4\\rbrack\\;\\cup\\;(2,\\infty)[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]\\lbrack1,4)[\/latex]\r\n<\/div>
\r\n[latex](6,\\infty)[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]x\\leq-6\\;or\\;x>2[\/latex]\r\n<\/div>
\r\n[latex]x\\geq1\\;and\\;x<8[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]x>-5\\;and\\;x\\leq1 [\/latex]\r\n<\/div>
\r\n[latex]x(2,6)[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex]x>2\\;and\\;x<6[\/latex]\r\n<\/div>
\r\n[latex]x>6[\/latex]\r\n<\/div><\/div>\r\n\r\n
\r\n
\r\n[latex](6,-6)[\/latex]\r\n<\/div>
\r\n[latex]\\{x\\vert x\\geq1\\;and\\;x<4\\}[\/latex]\r\n<\/div><\/div>\r\n\r\n

Why is there a closing p tag? [latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]<\/p>\r\n\r\n

Why is there a closing p tag? [latex]x\\geq1\\;and\\;x<8[\/latex]<\/p>\r\n\r\n

Why is there a closing p tag? [latex]x>2\\;and\\;x<6[\/latex]<\/p>\r\n\r\n

Why is there a closing p tag? [latex]\\{x\\vert x\\geq1\\;and\\;x<4\\}[\/latex]<\/p>\r\n\r\n

The LaTeX renders fine: [latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]\r\n\r\n LaTeX renders fine: [latex]x\\geq1\\;and\\;x<8[\/latex]\r\n\r\n LaTeX renders fine: [latex]x>2\\;and\\;x<6[\/latex]\r\n\r\n LaTeX renders fine: [latex]\\{x\\vert x\\geq1\\;and\\;x<4\\}[\/latex] like<\/p>\r\n\r\n

This is My First Attempt<\/h2>\r\n
\r\n
\r\n[latex](-6,2)[\/latex]\r\n[latex]\\lbrack1,8) [\/latex]\r\n[latex]\\{x\\vert x>5\\;and\\; x\\leq1\\}[\/latex]\r\n[latex]\\{x\\vert x\\leq-4\\;or\\;x>2\\}[\/latex]\r\n[latex]\\lbrack1,4)[\/latex]\r\n[latex]x\\leq-6\\;or\\;x>2[\/latex]\r\n[latex]x>-5\\;and\\;x\\leq1 [\/latex]\r\n[latex]x>2\\;and\\;x<6[\/latex]\r\n[latex](6,-6)[\/latex]\r\n<\/div>\r\n
\r\n[latex](-5,1\/rbrack[\/latex]\r\n[latex](-\\infty,-6)\\;\\cup\\;(2,\\infty)[\/latex]\r\n[latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]\r\n[latex](-\\infty,-4\\rbrack\\;\\cup\\;(2,\\infty)[\/latex]\r\n[latex](6,\\infty)[\/latex]\r\n[latex]x\\geq1\\;and\\;x<8[\/latex]\r\n[latex]x(2,6)[\/latex]\r\n[latex]x>6[\/latex]\r\n[latex]\\{x\\vertx\\geq1\\;and\\;x<4\\}[\/latex]\r\n<\/div><\/div>\r\n\r\n\r\n\r\n
\r\n\r\nActivity 2.7.2 Solving Absolute Value Inequalities\r\n\r\nSolve the absolute value inequality, graph the solution on the number line and write solution in interval notation.\r\n\r\n \t[latex]|c|-3\\leq0[\/latex]\r\n \r\n [latex]|\\frac{n}{4}|\\leq3[\/latex]\r\n \r\n \t[latex]|-9p|\\leq54[\/latex]\r\n \r\n \t[latex]|q|-3>-2[\/latex]\r\n \r\n \t[latex]|10+4x|<14[\/latex]\r\n \r\n \t[latex]-|\\frac{x-4}{5}|\\geq2[\/latex]\r\n \r\n \t[latex]2|x|+14>32[\/latex]\r\n \r\n \t[latex]\\frac{|3+r}{7}\\leq5[\/latex]\r\n \r\n \t[latex]|b-8|+10>22[\/latex]\r\n \r\n \t[latex]|\\frac{x}{6}|\\geq5[\/latex]\r\n","rendered":"

Activity 2.7.1 Linear Inequality Notation Matching Game<\/p>\n

\n
\n[latex](-6,2)[\/latex]\n<\/div>\n
\n[latex](-5,1\\rbrack[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex]\\lbrack1,8)[\/latex]\n<\/div>\n
\n[latex](-\\infty,-6)\\;\\cup\\;(2,\\infty)[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex]\\{x\\vert x>5\\;and\\; x\\leq1\\}[\/latex]\n<\/div>\n
\n[latex]\\{x\\vert x>-6\\;and\\;x<\/div>\n<\/div>\n
\n
[latex]\\{x\\vert x\\leq-4\\;or\\;x>2\\}[\/latex]\n<\/div>\n
\n[latex](-\\infty,-4\\rbrack\\;\\cup\\;(2,\\infty)[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex]\\lbrack1,4)[\/latex]\n<\/div>\n
\n[latex](6,\\infty)[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex]x\\leq-6\\;or\\;x>2[\/latex]\n<\/div>\n
\n[latex]x\\geq1\\;and\\;x<\/div>\n<\/div>\n
\n
[latex]x>-5\\;and\\;x\\leq1[\/latex]\n<\/div>\n
\n[latex]x(2,6)[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex]x>2\\;and\\;x<\/div>\n
[latex]x>6[\/latex]\n<\/div>\n<\/div>\n
\n
\n[latex](6,-6)[\/latex]\n<\/div>\n
\n[latex]\\{x\\vert x\\geq1\\;and\\;x<\/div>\n<\/div>\n

Why is there a closing p tag? [latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]<\/p>\n\n<\/p>\n

Why is there a closing p tag? [latex]x\\geq1\\;and\\;x<8[\/latex]<\/p>\n\n<\/p>\n

Why is there a closing p tag? [latex]x>2\\;and\\;x<6[\/latex]<\/p>\n\n<\/p>\n

Why is there a closing p tag? [latex]\\{x\\vert x\\geq1\\;and\\;x<4\\}[\/latex]<\/p>\n\n<\/p>\n

The LaTeX renders fine: [latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]\n\n LaTeX renders fine: [latex]x\\geq1\\;and\\;x<8[\/latex]\n\n LaTeX renders fine: [latex]x>2\\;and\\;x<6[\/latex]\n\n LaTeX renders fine: [latex]\\{x\\vert x\\geq1\\;and\\;x<4\\}[\/latex] like<\/p>\n\n<\/p>\n

This is My First Attempt<\/h2>\n
\n
\n[latex](-6,2)[\/latex]
\n[latex]\\lbrack1,8)[\/latex]
\n[latex]\\{x\\vert x>5\\;and\\; x\\leq1\\}[\/latex]
\n[latex]\\{x\\vert x\\leq-4\\;or\\;x>2\\}[\/latex]
\n[latex]\\lbrack1,4)[\/latex]
\n[latex]x\\leq-6\\;or\\;x>2[\/latex]
\n[latex]x>-5\\;and\\;x\\leq1[\/latex]
\n[latex]x>2\\;and\\;x<\/div>\n
[latex](-5,1\/rbrack[\/latex]
\n[latex](-\\infty,-6)\\;\\cup\\;(2,\\infty)[\/latex]
\n[latex]\\{x\\vert x>-6\\;and\\;x<6)[\/latex]\n[latex](-\\infty,-4\\rbrack\\;\\cup\\;(2,\\infty)[\/latex]\n[latex](6,\\infty)[\/latex]\n[latex]x\\geq1\\;and\\;x<8[\/latex]\n[latex]x(2,6)[\/latex]\n[latex]x>6[\/latex]
\n[latex]\\{x\\vertx\\geq1\\;and\\;x<\/div>\n<\/div>\n
\n

Activity 2.7.2 Solving Absolute Value Inequalities Solve the absolute value inequality, graph the solution on the number line and write solution in interval notation. \t[latex]|c|-3\\leq0[\/latex]
\n 
\n [latex]|\\frac{n}{4}|\\leq3[\/latex]
\n 
\n \t[latex]|-9p|\\leq54[\/latex]
\n 
\n \t[latex]|q|-3>-2[\/latex]
\n 
\n \t[latex]|10+4x|<14[\/latex]\n \n \t[latex]-|\\frac{x-4}{5}|\\geq2[\/latex]\n \n \t[latex]2|x|+14>32[\/latex]
\n 
\n \t[latex]\\frac{|3+r}{7}\\leq5[\/latex]
\n 
\n \t[latex]|b-8|+10>22[\/latex]
\n 
\n \t[latex]|\\frac{x}{6}|\\geq5[\/latex]<\/p>\n","protected":false},"author":291,"menu_order":1,"template":"","meta":{"pb_show_title":"","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[48],"contributor":[],"license":[],"class_list":["post-5","chapter","type-chapter","status-publish","hentry","chapter-type-standard"],"part":3,"_links":{"self":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapters\/5","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/wp\/v2\/users\/291"}],"version-history":[{"count":2,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions"}],"predecessor-version":[{"id":22,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapters\/5\/revisions\/22"}],"part":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapters\/5\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/wp\/v2\/media?parent=5"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/pressbooks\/v2\/chapter-type?post=5"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/wp\/v2\/contributor?post=5"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/integrations.pressbooks.network\/latextroubleshooting\/wp-json\/wp\/v2\/license?post=5"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}