document.write( "Question 164208: 2(4-3/5q) < 5\r
\n" ); document.write( "\n" ); document.write( "I got
\n" ); document.write( "8-6/5q <5
\n" ); document.write( "-6/5q < -3
\n" ); document.write( "-5/6*-6/5q < -3*-5/6
\n" ); document.write( "q<2.5\r
\n" ); document.write( "\n" ); document.write( "Right??
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Algebra.Com's Answer #120995 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Almost.
\n" ); document.write( "Multiplication by a negative changes the direction of the inequality sign.
\n" ); document.write( "q>2.5
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\n" ); document.write( "Check your answer.
\n" ); document.write( "Pick two values, one less than 2.5 (should fail), one greater than 2.5 (should pass).
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\n" ); document.write( "First, q=0.
\n" ); document.write( "2(4-3/5q) < 5
\n" ); document.write( "2(4-0)<5
\n" ); document.write( "8<5
\n" ); document.write( "False.
\n" ); document.write( "As you would expect since 0<2.5.
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\n" ); document.write( "Next, q=5.
\n" ); document.write( "2(4-3/5q) < 5
\n" ); document.write( "2(4-3)<5
\n" ); document.write( "2<5
\n" ); document.write( "True.
\n" ); document.write( "As you would expect since 5>2.5.
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