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Popular >

|-x+2|-13>17

Solution

∣ - x + 2 ∣ - 13 > 17

Solution

x < - 28 or x > 32

+1

Interval Notation

(- \infty, - 28) \cup (32, \infty)

Solution steps

∣ - x + 2 ∣ - 13 > 17

Move

13

to the right side

∣ - x + 2 ∣ > 30

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

- x + 2 < - 30 or - x + 2 > 30

- x + 2 < - 30 or - x + 2 > 30

x < - 28 or x > 32

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Frequently Asked Questions (FAQ)

What is |-x+2|-13>17 ?
The solution to |-x+2|-13>17 is x<-28\lor x>32