document.write( "Question 486691: I am having trouble with this equation. I am usually fairly good at Inequalities however this one eludes me.\r
\n" ); document.write( "\n" ); document.write( "Solve for x: -5<-3(x-1.5)≤2\r
\n" ); document.write( "\n" ); document.write( "Here is what I have so far...\r
\n" ); document.write( "\n" ); document.write( "-5<-3(x-1.5)≤2\r
\n" ); document.write( "\n" ); document.write( "-5 <-3x+4.5 ≤ 2
\n" ); document.write( "-4.5 -4.5 -4.5\r
\n" ); document.write( "\n" ); document.write( "-9.5 < -3x ≤ -2.5\r
\n" ); document.write( "\n" ); document.write( "-9.5/-3 < -3x/-3 ≤ -2.5/-3\r
\n" ); document.write( "\n" ); document.write( "[ 3.16 > x ≥ .83 ] <---- Answer I came up with. Not sure if this is correct if not please help me find my flaw.\r
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Algebra.Com's Answer #332715 by chessace(471)\"\" \"About 
You can put this solution on YOUR website!
Solve for x: -5<-3(x-1.5)≤2
\n" ); document.write( "Here is what I have so far...
\n" ); document.write( "-5<-3(x-1.5)≤2
\n" ); document.write( "-5 <-3x+4.5 ≤ 2
\n" ); document.write( " -4.5 -4.5 -4.5
\n" ); document.write( "-9.5 < -3x ≤ -2.5
\n" ); document.write( "Fine so far!
\n" ); document.write( "-9.5/-3 < -3x/-3 ≤ -2.5/-3
\n" ); document.write( "Not so good!
\n" ); document.write( "When you * or / by a negative, the inequalities reverse direction.
\n" ); document.write( "5>3 but -5<-3
\n" ); document.write( "Your doubt was caused by forcing the reversal at the end for no good reason other than it was obviously wrong.
\n" ); document.write( "The resulting answer is correct (2 wrongs made a right).
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