document.write( "Question 1130302: 3|x+5|<=6 \n" ); document.write( "

Algebra.Com's Answer #746964 by ikleyn(52809) $\"\"$ $\"About$

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document.write( "3|x+5| <= 6\r\n" );
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document.write( "Divide both side by 3. You will get an equivalent inequality\r\n" );
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document.write( "|x + 5| <= 2,   or,  which is the same,   |x - (-5)| <= 2.\r\n" );
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document.write( "The solution is the set of those x's that are remoted not far than 2 units from -5;\r\n" );
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document.write( "in other words,  -5-2 <= x <= -5 + 2,   or   -7 <= x <= -3.\r\n" );
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document.write( "Answer.  The solution set is  -7 <= x <= -3,  or, in the interval notation, the segment  [-7,-3].\r\n" );
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