document.write( "Question 486691: I am having trouble with this equation. I am usually fairly good at Inequalities however this one eludes me.\r
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document.write( "Solve for x: -5<-3(x-1.5)≤2\r
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document.write( "Here is what I have so far...\r
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document.write( "-5<-3(x-1.5)≤2\r
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document.write( "-5 <-3x+4.5 ≤ 2
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document.write( "-4.5 -4.5 -4.5\r
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document.write( "-9.5 < -3x ≤ -2.5\r
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document.write( "-9.5/-3 < -3x/-3 ≤ -2.5/-3\r
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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)![]() ![]() 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). \n" ); document.write( " \n" ); document.write( " |