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