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Popular >

|x+2|<= 9

Solution

∣ x + 2 ∣ \leq 9

Solution

- 11 \leq x \leq 7

+1

Interval Notation

[- 11, 7]

Solution steps

∣ x + 2 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq x + 2 \leq 9

x + 2 \geq - 9 and x + 2 \leq 9

x \geq - 11 and x \leq 7

Merge Overlapping Intervals

- 11 \leq x \leq 7

Popular Examples

x^{2} + 7 x + 12 \geq 0

factor x^2-81 factor

x^{2} - 81

simplify sqrt(3)-2+1/(sqrt(3)-2)simplify

3 - 2 + \frac{1}{3 - 2}

factor x^3-3x^2-5x+15 factor

x^{3} - 3 x^{2} - 5 x + 15

simplify sqrt(972)simplify

972

Frequently Asked Questions (FAQ)

What is |x+2|<= 9 ?
The solution to |x+2|<= 9 is -11<= x<= 7