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)![]() ![]() ![]() You can put this solution on YOUR website! How do you solve 2<|x-1|<5. \n" ); document.write( "----------- \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. \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "2< x-1 <5 or 2 < -(x-1) < 5 \n" ); document.write( "--------------------- \n" ); document.write( "3< x < 6 or -5< x-1 <-2 \n" ); document.write( "------ \n" ); document.write( "3< x < 6 or -4< x <-1 \n" ); document.write( "--------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |