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Popular >

|x-13|<18

Solution

∣ x - 13 ∣ < 18

Solution

- 5 < x < 31

+1

Interval Notation

(- 5, 31)

Solution steps

∣ x - 13 ∣ < 18

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 18 < x - 13 < 18

x - 13 > - 18 and x - 13 < 18

x > - 5 and x < 31

Merge Overlapping Intervals

- 5 < x < 31

Popular Examples

3 x (x + 1) = - 2

6 - 8 x = 22

factor 3x^2+36x+81 factor

3 x^{2} + 36 x + 81

simplify (z^{-1/3})/(z^{-5/6)}simplify

\frac{z ^{- \frac{1}{3}}}{z ^{- \frac{5}{6}}}

factor 2x^3+11x^2+20x+21 factor

2 x^{3} + 11 x^{2} + 20 x + 21

Frequently Asked Questions (FAQ)

What is |x-13|<18 ?
The solution to |x-13|<18 is -5<x<31