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Popular >

-8|4-x|<-24

Solution

- 8 ∣ 4 - x ∣ < - 24

Solution

x < 1 or x > 7

+1

Interval Notation

(- \infty, 1) \cup (7, \infty)

Solution steps

- 8 ∣ 4 - x ∣ < - 24

Multiply both sides by

- 1

8 ∣ 4 - x ∣ > 24

Divide both sides by

8

∣ 4 - x ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

4 - x < - 3 or 4 - x > 3

4 - x < - 3 or 4 - x > 3

x < 1 or x > 7

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Frequently Asked Questions (FAQ)

What is -8|4-x|<-24 ?
The solution to -8|4-x|<-24 is x<1\lor x>7