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Popular >

|x+9|<= 5

Solution

∣ x + 9 ∣ \leq 5

Solution

- 14 \leq x \leq - 4

+1

Interval Notation

[- 14, - 4]

Solution steps

∣ x + 9 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 9 \leq 5

x + 9 \geq - 5 and x + 9 \leq 5

x \geq - 14 and x \leq - 4

Merge Overlapping Intervals

- 14 \leq x \leq - 4

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-3x^2-107=36x-5

- 3 x^{2} - 107 = 36 x - 5

(x+1)/(x-2)<= 0

\frac{x + 1}{x - 2} \leq 0

Frequently Asked Questions (FAQ)

What is |x+9|<= 5 ?
The solution to |x+9|<= 5 is -14<= x<=-4