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solve the compound inequality-8 < 5x + 7 <2

Solve The Compound Inequality8 Lt 5x 7 Lt2 class=

Sagot :

charlief22

Answer:

-3 < x ≤ -1

Step-by-step explanation:

-8 < 5x + 7 ≤ 2

First, subtract 7 from all sides of the inequality:

-8 - 7 < 5x + 7 - 7 ≤ 2 - 7

-15 < 5x < -5

Divide all sides by 5 to isolate x:

-15 ÷ 5 < 5x ÷ 5 ≤ -5 ÷4

-3 < x ≤ -1

Hope this helps!

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