document.write( "Question 268941: 2(4 – 3/5 q) < 5 \n" ); document.write( "
Algebra.Com's Answer #197070 by persian52(161)![]() ![]() You can put this solution on YOUR website! 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) \n" ); document.write( " |