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Popular >

|b-8|+10>22

Solution

∣ b - 8 ∣ + 10 > 22

Solution

b < - 4 or b > 20

+1

Interval Notation

(- \infty, - 4) \cup (20, \infty)

Solution steps

∣ b - 8 ∣ + 10 > 22

Move

10

to the right side

∣ b - 8 ∣ > 12

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

b - 8 < - 12 or b - 8 > 12

b - 8 < - 12 or b - 8 > 12

b < - 4 or b > 20

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Frequently Asked Questions (FAQ)

What is |b-8|+10>22 ?
The solution to |b-8|+10>22 is b<-4\lor b>20