document.write( "Question 889100: could you please explain: solve the inequality 1/|x+3|>or=1/2 thank you \n" ); document.write( "
Algebra.Com's Answer #537887 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The absolute value denominator is positive, so multiplying the members by it will require
\n" ); document.write( "no change in order direction.\r
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\n" ); document.write( "\n" ); document.write( "So do that multiplication.\r
\n" ); document.write( "\n" ); document.write( "\"1%2Fabs%28x%2B3%29%3E=1%2F2\"
\n" ); document.write( "\"1%3E=%281%2F2%29abs%28x%2B3%29\"
\n" ); document.write( "continuing
\n" ); document.write( "\"2%3E=abs%28x%2B3%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "IF \"x%2B3%3E=0\" THEN \"x%2B3%3C=2\"
\n" ); document.write( "\"x%3C=2-3\"
\n" ); document.write( "\"highlight_green%28x%3C=-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "IF \"x%2B3%3C0\" THEN \"-x-3%3C2\"
\n" ); document.write( "\"-x%3C2%2B3\"
\n" ); document.write( "\"-x%3C5\"
\n" ); document.write( "\"-x%2A%28-1%29%3E5%2A%28-1%29\" The direction of inequality must here be reversed as shown.
\n" ); document.write( "\"highlight_green%28x%3E-5%29\"\r
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\n" ); document.write( "\n" ); document.write( "SOLUTION: \"highlight%28-5%3Cx%3C-1%29\"
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