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Popular >

9|x-8|-10<26

Solution

9 ∣ x - 8 ∣ - 10 < 26

Solution

4 < x < 12

+1

Interval Notation

(4, 12)

Solution steps

9 ∣ x - 8 ∣ - 10 < 26

Move

10

to the right side

9 ∣ x - 8 ∣ < 36

Divide both sides by

9

∣ x - 8 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x - 8 < 4

x - 8 > - 4 and x - 8 < 4

x > 4 and x < 12

Merge Overlapping Intervals

4 < x < 12

Popular Examples

simplify \sqrt[7]{-128}simplify

4x+5/15 x^2+7x-2-2x+3/12 x^2-7x-10-2x-5/20 x^2-29x+5=0

4 x + \frac{5}{15} x^{2} + 7 x - 2 - 2 x + \frac{3}{12} x^{2} - 7 x - 10 - 2 x - \frac{5}{20} x^{2} - 29 x + 5 = 0

factor y^2+1y-6 factor

y^{2} + 1 y - 6

simplify 8/3+1/3 simplify

\frac{8}{3} + \frac{1}{3}

factor-8-p^3 factor

- 8 - p^{3}

Frequently Asked Questions (FAQ)

What is 9|x-8|-10<26 ?
The solution to 9|x-8|-10<26 is 4<x<12