document.write( "Question 127512: |4-x|<5\r
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Algebra.Com's Answer #93456 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"abs%284-x%29%3C5\" Start with the given inequality\r
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\n" ); document.write( "\n" ); document.write( "Break up the absolute value (remember, if you have \"abs%28x%29%3C+a\", then \"x+%3E+-a\" and \"x+%3C+a\")\r
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\n" ); document.write( "\n" ); document.write( "\"4-x+%3E+-5\" and \"4-x+%3C+5\" Break up the absolute value inequality using the given rule\r
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\n" ); document.write( "\n" ); document.write( "\"-5+%3C+4-x+%3C+5\" Combine the two inequalities to get a compound inequality\r
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\n" ); document.write( "\n" ); document.write( "\"-9+%3C+-x+%3C+1\" Subtract 4 from all sides\r
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\n" ); document.write( "\n" ); document.write( "\"9+%3E+x+%3E+-1\" Divide all sides by -1. This will isolate x. Remember, dividing by a negative number flips the inequality signs.\r
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\n" ); document.write( "\n" ); document.write( "\"-1%3Cx%3C9\" Rearrange the inequality\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So our answer is\r
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\n" ); document.write( "\n" ); document.write( "which looks like this in interval notation\r
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\n" ); document.write( "\n" ); document.write( "if you wanted to graph the solution set, you would get\r
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\n" ); document.write( "\n" ); document.write( " Graph of the solution set in blue and the excluded values represented by open circles
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