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Popular >

|x+8|<= 11

Solution

∣ x + 8 ∣ \leq 11

Solution

- 19 \leq x \leq 3

+1

Interval Notation

[- 19, 3]

Solution steps

∣ x + 8 ∣ \leq 11

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 11 \leq x + 8 \leq 11

x + 8 \geq - 11 and x + 8 \leq 11

x \geq - 19 and x \leq 3

Merge Overlapping Intervals

- 19 \leq x \leq 3

Popular Examples

- 7 + \frac{x}{3} > - 4

factor k^2+24k-25 factor

k^{2} + 24 k - 25

simplify (e^{6x-1})/(e^{x-2)}simplify

\frac{e ^{6 x - 1}}{e ^{x - 2}}

simplify 6*4/3 simplify

6 \cdot \frac{4}{3}

3 n^{2} - 2 n - 18 = 2

Frequently Asked Questions (FAQ)

What is |x+8|<= 11 ?
The solution to |x+8|<= 11 is -19<= x<= 3