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Solve the inequality, 3x-1<5x+8<2x+15, giving the solution set as an interval.

 Jul 8, 2020
 #1
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3x-1<5x+8

Solve by subtracting both sides by 3x

-1<2x+8

Subtract both sides by 8

-9<2x

Divide by 2

x>-9/2

 

5x+8<2x+15

Subtract both sides by 2x and 8

3x<7

x<7/3

 

Interval notation: (-9/2, 7/3)

 

You are very welcome!

:P

 Jul 8, 2020

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