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Popular >

-4|s-20|<-16

Solution

- 4 ∣ s - 20 ∣ < - 16

Solution

s < 16 or s > 24

+1

Interval Notation

(- \infty, 16) \cup (24, \infty)

Solution steps

- 4 ∣ s - 20 ∣ < - 16

Multiply both sides by

- 1

4 ∣ s - 20 ∣ > 16

Divide both sides by

4

∣ s - 20 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

s - 20 < - 4 or s - 20 > 4

s - 20 < - 4 or s - 20 > 4

s < 16 or s > 24

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Frequently Asked Questions (FAQ)

What is -4|s-20|<-16 ?
The solution to -4|s-20|<-16 is s<16\lor s>24