document.write( "Question 776551: How do you solve 2<|x-1|<5. I am confused because i usually have only done regular absolute value inequalities, but this has two inequality signs so im confused. Thanks. \n" ); document.write( "
Algebra.Com's Answer #473603 by stanbon(75887)\"\" \"About 
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How do you solve 2<|x-1|<5.
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\n" ); document.write( "Note:: |x-1| has two arms, x+1 and -x-1.
\n" ); document.write( "You want to know for what values of \"x\", those arms have
\n" ); document.write( "y-values that are greater than 2 AND less than 5.
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\n" ); document.write( "2< x-1 <5 or 2 < -(x-1) < 5
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\n" ); document.write( "3< x < 6 or -5< x-1 <-2
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\n" ); document.write( "3< x < 6 or -4< x <-1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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