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Popular >

4|x+1|-2>6

Solution

4 ∣ x + 1 ∣ - 2 > 6

Solution

x < - 3 or x > 1

+1

Interval Notation

(- \infty, - 3) \cup (1, \infty)

Solution steps

4 ∣ x + 1 ∣ - 2 > 6

Move

2

to the right side

4 ∣ x + 1 ∣ > 8

Divide both sides by

4

∣ x + 1 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 1 < - 2 or x + 1 > 2

x + 1 < - 2 or x + 1 > 2

x < - 3 or x > 1

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468

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Frequently Asked Questions (FAQ)

What is 4|x+1|-2>6 ?
The solution to 4|x+1|-2>6 is x<-3\lor x>1