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Popular >

|x-8|<= 7

Solution

∣ x - 8 ∣ \leq 7

Solution

1 \leq x \leq 15

+1

Interval Notation

[1, 15]

Solution steps

∣ x - 8 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq x - 8 \leq 7

x - 8 \geq - 7 and x - 8 \leq 7

x \geq 1 and x \leq 15

Merge Overlapping Intervals

1 \leq x \leq 15

Popular Examples

simplify (e^{-2x})/(e^x)simplify

\frac{e ^{- 2 x}}{e ^{x}}

2 x^{2} + 7 x + 1 < 0

simplify i^{100}simplify

i^{100}

75 x^{2} - 48 = 0

factor x^4+50x^2+49 factor

x^{4} + 50 x^{2} + 49

Frequently Asked Questions (FAQ)

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