document.write( "Question 261547: Can someone please show me how to do this problem?\r
\n" ); document.write( "\n" ); document.write( "-4<6-2x<4
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Algebra.Com's Answer #192697 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
Here's one way:
\n" ); document.write( "-4<6-2x<4
\n" ); document.write( "Rewrite the problem as a compound inequality:
\n" ); document.write( "-4 < 6-2x and 6-2x < 4
\n" ); document.write( "Add -6 to both sides of both inequalities:
\n" ); document.write( "-10 < -2x and -2x < -2
\n" ); document.write( "Divide both sides by -2 (remembering the special rule to reverse the inequality whenever multiplying or dividing both sides of it by any negative number):
\n" ); document.write( "5 > x and x > 1
\n" ); document.write( "This should be an acceptable solution. But you could rewrite this in the same format as the original problem:
\n" ); document.write( "5 > x > 1
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