document.write( "Question 1203651: 4|2x+3|-7<9
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Algebra.Com's Answer #839388 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The solutions shown by the other tutors are good formal mathematical solutions.

\n" ); document.write( "A different method for solving absolute value problems like this is to interpret

\n" ); document.write( "\"abs%28x-a%29%3Cb\"

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\n" ); document.write( "\"x is less than b units from a\"

\n" ); document.write( "Applying that method to this problem....

\n" ); document.write( "\"4abs%282x%2B3%29-7%3C9\"
\n" ); document.write( "\"4abs%282x%2B3%29%3C16\"
\n" ); document.write( "\"abs%282x%2B3%29%3C4\"
\n" ); document.write( "\"abs%28x%2B1.5%29%3C2\"
\n" ); document.write( "\"abs%28x-%28-1.5%29%29%3C2\"

\n" ); document.write( "This says that x is less than 2 units from -1.5.

\n" ); document.write( "2 units to the left of -1.5 is -3.5; 2 units to the right of -1.5 is 0.5. So the solution is

\n" ); document.write( "-3.5 < x < 0.5

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