document.write( "Question 1055766: please show how to Solve the absolute value inequality, please Write interval notation for the solution set \r
\n" ); document.write( "\n" ); document.write( "|10x – 8| ≤ 32
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Algebra.Com's Answer #670955 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
factorize the positive number, 2, from the absolute value:\r
\n" ); document.write( "\n" ); document.write( "\"2%2Aabs%285x-4%29%3C=32\"
\n" ); document.write( "and then
\n" ); document.write( "\"abs%285x-4%29%3C=16\"\r
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\n" ); document.write( "\n" ); document.write( "Solve for the two possible conditions of 5x-4; that it be less than zero, or that it be non-negative.\r
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\n" ); document.write( "\n" ); document.write( "If nonnegative,
\n" ); document.write( "\"5x-4%3C=16\"
\n" ); document.write( "\"5x%3C=20\"
\n" ); document.write( "\"x%3C=4\"
\n" ); document.write( "If negative,
\n" ); document.write( "\"-5x%2B4%3C=16\"
\n" ); document.write( "\"-5x%3C=12\"
\n" ); document.write( "\"x%3E=-12%2F5\"
\n" ); document.write( "or
\n" ); document.write( "\"x%3E=-2%262%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "Putting these two solution parts together,
\n" ); document.write( "\"highlight%28-2%262%2F5%3C=x%3C=4%29\"
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