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Popular >

|x-7|<8

Solution

∣ x - 7 ∣ < 8

Solution

- 1 < x < 15

+1

Interval Notation

(- 1, 15)

Solution steps

∣ x - 7 ∣ < 8

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 8 < x - 7 < 8

x - 7 > - 8 and x - 7 < 8

x > - 1 and x < 15

Merge Overlapping Intervals

- 1 < x < 15

Popular Examples

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\frac{e ^{3 i} - e ^{- 3 i}}{2 i}

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y^{4} - 8 y^{2} + 16

simplify 23^2 simplify

2 3^{2}

simplify (4/3)^{-3}simplify

(\frac{4}{3})^{- 3}

\frac{w}{3} - 5 = 2

Frequently Asked Questions (FAQ)

What is |x-7|<8 ?
The solution to |x-7|<8 is -1<x<15