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Popular >

5|x+2|>25

Solution

5 ∣ x + 2 ∣ > 25

Solution

x < - 7 or x > 3

+1

Interval Notation

(- \infty, - 7) \cup (3, \infty)

Solution steps

5 ∣ x + 2 ∣ > 25

Divide both sides by

5

∣ x + 2 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 2 < - 5 or x + 2 > 5

x + 2 < - 5 or x + 2 > 5

x < - 7 or x > 3

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Frequently Asked Questions (FAQ)

What is 5|x+2|>25 ?
The solution to 5|x+2|>25 is x<-7\lor x>3