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Popular >

2|x+2|-3>5

Solution

2 ∣ x + 2 ∣ - 3 > 5

Solution

x < - 6 or x > 2

+1

Solution steps

2 ∣ x + 2 ∣ - 3 > 5

Move

3

to the right side

2 ∣ x + 2 ∣ > 8

Divide both sides by

2

∣ x + 2 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 2 < - 4 or x + 2 > 4

x + 2 < - 4 or x + 2 > 4

x < - 6 or x > 2

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Frequently Asked Questions (FAQ)

What is 2|x+2|-3>5 ?
The solution to 2|x+2|-3>5 is x<-6\lor x>2