document.write( "Question 268941: 2(4 – 3/5 q) < 5 \n" ); document.write( "
Algebra.Com's Answer #197070 by persian52(161)\"\" \"About 
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2(4-(3)/(5)*q)<5\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by 2.
\n" ); document.write( "(2(4-(3)/(5)*q))/(2)<(5)/(2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common terms.
\n" ); document.write( "-(3q)/(5)+4<(5)/(2)\r
\n" ); document.write( "\n" ); document.write( "Since 4 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 4 from both sides.
\n" ); document.write( "-(3q)/(5)<-4+(5)/(2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality.
\n" ); document.write( "-(3q)/(5)<-(3)/(2)\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the inequality by 5.
\n" ); document.write( "-(3q)/(5)*5<-(3)/(2)*5\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common terms.
\n" ); document.write( "-3q<-(3)/(2)*5\r
\n" ); document.write( "\n" ); document.write( "Multiply -(3)/(2) by 5 to get -(15)/(2).
\n" ); document.write( "-3q<-(15)/(2)\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -3.
\n" ); document.write( "-(3q)/(-3)>-(15)/(2)*-(1)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common terms.
\n" ); document.write( "q>-(15)/(2)*-(1)/(3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term.
\n" ); document.write( "q>(5)/(2)
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