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

Solve the compound inequality-8 < 5x + 7 <2-example-1
User JohnSmith
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1 Answer

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24 votes

Answer:

-3 < x ≤ -1

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!

User FraK
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