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Popular >

-2|x+5|<=-4

Solution

- 2 ∣ x + 5 ∣ \leq - 4

Solution

x \leq - 7 or x \geq - 3

+1

Interval Notation

(- \infty, - 7] \cup [- 3, \infty)

Solution steps

- 2 ∣ x + 5 ∣ \leq - 4

Multiply both sides by

- 1

2 ∣ x + 5 ∣ \geq 4

Divide both sides by

2

∣ x + 5 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 5 \leq - 2 or x + 5 \geq 2

x + 5 \leq - 2 or x + 5 \geq 2

x \leq - 7 or x \geq - 3

Popular Examples

log_{8}(2)+log_{8}(4)x^2=1

lo g_{8} (2) + lo g_{8} (4) x^{2} = 1

factor 6x^2+30x+36 factor

6 x^{2} + 30 x + 36

\frac{x}{3} + 7 = 10

- 3 + 7 x \geq 53

factor x^3-9x^2+7x-63 factor

x^{3} - 9 x^{2} + 7 x - 63

Frequently Asked Questions (FAQ)

What is -2|x+5|<=-4 ?
The solution to -2|x+5|<=-4 is x<=-7\lor x>=-3