document.write( "Question 1116225: HOW do I do this?:\r
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document.write( "Solve each absolute value inequality and show it's solution set:
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document.write( "a)|x|≤3
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document.write( "b)|3−x|<5
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document.write( "c)|4g−5|>17
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document.write( "d)|4x+1|<21 \n" );
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Algebra.Com's Answer #731105 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Since the post by @stanbon contained errors, I copied, pasted, corrected it and presented in more readable format:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " HOW do I do this?: \n" ); document.write( "Solve each absolute value inequality and show it's solution set:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "a) |x| <= 3\r\n" ); document.write( "\r\n" ); document.write( " -3<= x <=3\r\n" ); document.write( "\r\n" ); document.write( "====================\r\n" ); document.write( "\r\n" ); document.write( "b) |3-x| < 5\r\n" ); document.write( "\r\n" ); document.write( " -5 < 3-x < 5\r\n" ); document.write( " -8 < -x < 2 \r\n" ); document.write( " -2 < x < 8 <<<---=== those \"x\", that are remoted less than 5 units from the point \"3\" in the number line.\r\n" ); document.write( "\r\n" ); document.write( "====================\r\n" ); document.write( "\r\n" ); document.write( "c) |4g-5| > 17\r\n" ); document.write( "\r\n" ); document.write( " 4g-5 < -17 or 4g-5 > 17\r\n" ); document.write( " g < -3 or g > 11/2 <<<---=== the solution is the union of two sets\r\n" ); document.write( "\r\n" ); document.write( "====================\r\n" ); document.write( "\r\n" ); document.write( "d) |4x+1| < 21 \r\n" ); document.write( "\r\n" ); document.write( " -21 < 4x+1 < 21\r\n" ); document.write( " -22 < 4x < 20\r\n" ); document.write( " -11/2 < x < 5\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( "\n" ); document.write( "For those who learn the solution of absolute value equations for the first time in their life, there is a group of lessons\r \n" ); document.write( "\n" ); document.write( " - Absolute Value equations\r \n" ); document.write( "\n" ); document.write( " - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1\r \n" ); document.write( "\n" ); document.write( " - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2\r \n" ); document.write( "\n" ); document.write( " - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this area. Start from the very first lesson of the list.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \n" ); document.write( "\"Solving Absolute values equations\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |