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Popular >

|x+5|<= 8

Solution

∣ x + 5 ∣ \leq 8

Solution

- 13 \leq x \leq 3

+1

Interval Notation

[- 13, 3]

Solution steps

∣ x + 5 ∣ \leq 8

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 8 \leq x + 5 \leq 8

x + 5 \geq - 8 and x + 5 \leq 8

x \geq - 13 and x \leq 3

Merge Overlapping Intervals

- 13 \leq x \leq 3

Popular Examples

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4 \cdot 60

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simplify (a*b)^2 simplify

(a \cdot b)^{2}

simplify 2/7+1/4+3/2 simplify

\frac{2}{7} + \frac{1}{4} + \frac{3}{2}

5 x - 2 (x + 1) = x + 4

Frequently Asked Questions (FAQ)

What is |x+5|<= 8 ?
The solution to |x+5|<= 8 is -13<= x<= 3