document.write( "Question 62221: Please help me understand this problem aslo please...
\n" ); document.write( " $\"Photobucket$ Thank you again for helping! \n" ); document.write( "

Algebra.Com's Answer #42998 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"8-4%2Aabs%282x%29%2F2%3C=16\"$ The first thing you do is isolate your absolute value.
\n" ); document.write( " $\"-8%2B8-4%2Aabs%282x%29%2F2%3C=16-8\"$
\n" ); document.write( " $\"-4%2Aabs%282x%29%2F2%3C=8\"$
\n" ); document.write( " $\"-2%2Aabs%282x%29%3C=8\"$
\n" ); document.write( " $\"-2%2Aabs%282x%29%2F-2%3E=8%2F-2\"$ Flip the inequality symbol when you divide by a negative number.
\n" ); document.write( " $\"abs%282x%29%3E=-4\"$ The soltution is all real numbers because absoltute values always result in non-negative numbers. No matter what we put in for x, it will always be bigger than a negative number.
\n" ); document.write( "If you didn't notice that and tried to solve it, you'd get:
\n" ); document.write( " $\"2x%3E=-4\"$ or $\"2x%3C=4\"$
\n" ); document.write( " $\"2x%2F2%3E=-4%2F2\"$ or $\"2x%2F2%3C=4%2F2\"$
\n" ); document.write( " $\"x%3E=-2\"$ or $\"x%3C=2\"$
\n" ); document.write( "If you graphed these on the number line, you would see that everything gets shaded in both directions resulting in an all real number solution.
\n" ); document.write( "Happy Calculating!!!
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