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Popular >

|x+6|<= 2

Solution

∣ x + 6 ∣ \leq 2

Solution

- 8 \leq x \leq - 4

+1

Interval Notation

[- 8, - 4]

Solution steps

∣ x + 6 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 6 \leq 2

x + 6 \geq - 2 and x + 6 \leq 2

x \geq - 8 and x \leq - 4

Merge Overlapping Intervals

- 8 \leq x \leq - 4

Popular Examples

factor 3x^2+6x-15 factor

3 x^{2} + 6 x - 15

factor 6c^2+10c^3 factor

6 c^{2} + 10 c^{3}

9 x^{2} - 4 x - 1 = 0

simplify (2x^2)^2(1/2 y^2)^2 simplify

(2 x^{2})^{2} (\frac{1}{2} y^{2})^{2}

simplify-(9x)^0 simplify

- (9 x)^{0}

Frequently Asked Questions (FAQ)

What is |x+6|<= 2 ?
The solution to |x+6|<= 2 is -8<= x<=-4