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Popular >

|x-8|<7

Solution

∣ x - 8 ∣ < 7

Solution

1 < x < 15

+1

Interval Notation

(1, 15)

Solution steps

∣ x - 8 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < x - 8 < 7

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

x > 1 and x < 15

Merge Overlapping Intervals

1 < x < 15

Popular Examples

\frac{5 x}{7} - 5 = 50

\frac{2}{3 x} + \frac{3}{4} < 4

simplify (3+4i)/(4+i)simplify

\frac{3 + 4 i}{4 + i}

longmult 2*0.1 long multiplication

2 \cdot 0.1

factor 81m^4-256 factor

81 m^{4} - 256

Frequently Asked Questions (FAQ)

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