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Popular >

|x+1|>5

Solution

∣ x + 1 ∣ > 5

Solution

x < - 6 or x > 4

+1

Interval Notation

(- \infty, - 6) \cup (4, \infty)

Solution steps

∣ x + 1 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 1 < - 5 or x + 1 > 5

x + 1 < - 5 or x + 1 > 5

x < - 6 or x > 4

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3 \cdot (\frac{1}{2})^{2}

Frequently Asked Questions (FAQ)

What is |x+1|>5 ?
The solution to |x+1|>5 is x<-6\lor x>4