document.write( "Question 118430: draw the number line graph which is the solution of |x-2| less than 5 \n" ); document.write( "
Algebra.Com's Answer #86548 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"abs%28x-2%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( "\"x-2+%3E+-5\" and \"x-2+%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+x-2+%3C+5\" Combine the two inequalities to get a compound inequality\r
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\n" ); document.write( "\n" ); document.write( "\"-3+%3C+x+%3C+7\" Add 2 to all sides\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( "\"-3+%3C+x+%3C+7\"\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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