document.write( "Question 1085316: Why must you consider multiple cases when solving absolute value equations? \n" ); document.write( "

Algebra.Com's Answer #699395 by ikleyn(52946) $\"\"$ $\"About$

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document.write( "1.  The shortest answer is: because the absolute value function is defined differently in different parts of the number line.\r\n" );
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document.write( "2.  Slightly more extended answer is this:\r\n" );
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document.write( "    When we solve absolute value equation |ax + b| = c, for example, \r\n" );
document.write( "    we reduce it to solving TWO equations with linear functions.\r\n" );
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document.write( "    In each equation this linear function is determined in its own way.\r\n" );
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document.write( "3.  To get the most detailed explanations, see the lessons \r\n" );
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    - 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( "    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this area.\r
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\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
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\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
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