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Popular >

|x+4|<= 5

Solution

∣ x + 4 ∣ \leq 5

Solution

- 9 \leq x \leq 1

+1

Interval Notation

[- 9, 1]

Solution steps

∣ x + 4 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 4 \leq 5

x + 4 \geq - 5 and x + 4 \leq 5

x \geq - 9 and x \leq 1

Merge Overlapping Intervals

- 9 \leq x \leq 1

Popular Examples

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4 (x + 10)^{2} - 31 = - 15

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- - 24

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

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\frac{x}{x y}

Frequently Asked Questions (FAQ)

What is |x+4|<= 5 ?
The solution to |x+4|<= 5 is -9<= x<= 1