SOLUTION: 2(4 � 3/5 q)

SOLUTION: 2(4 � 3/5 q) < 5

Question 268941: 2(4 � 3/5 q) < 5
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
2(4-(3)/(5)*q)<5
Divide each term in the inequality by 2.
(2(4-(3)/(5)*q))/(2)<(5)/(2)
Simplify the left-hand side of the inequality by canceling the common terms.
-(3q)/(5)+4<(5)/(2)
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.
-(3q)/(5)<-4+(5)/(2)
Simplify the right-hand side of the inequality.
-(3q)/(5)<-(3)/(2)
Multiply each term in the inequality by 5.
-(3q)/(5)*5<-(3)/(2)*5
Simplify the left-hand side of the inequality by canceling the common terms.
-3q<-(3)/(2)*5
Multiply -(3)/(2) by 5 to get -(15)/(2).
-3q<-(15)/(2)
Divide each term in the inequality by -3.
-(3q)/(-3)>-(15)/(2)*-(1)/(3)
Simplify the left-hand side of the inequality by canceling the common terms.
q>-(15)/(2)*-(1)/(3)
Simplify the right-hand side of the inequality by simplifying each term.
q>(5)/(2)
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