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Popular >

5-|x+4|<=-3

Solution

5 - ∣ x + 4 ∣ \leq - 3

Solution

x \leq - 12 or x \geq 4

+1

Interval Notation

(- \infty, - 12] \cup [4, \infty)

Solution steps

5 - ∣ x + 4 ∣ \leq - 3

Move

5

to the right side

- ∣ x + 4 ∣ \leq - 8

Multiply both sides by

- 1

∣ x + 4 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 4 \leq - 8 or x + 4 \geq 8

x + 4 \leq - 8 or x + 4 \geq 8

x \leq - 12 or x \geq 4

Popular Examples

6 + b > 84

0=|-2(x-1)^2+3|-4

0 = - 2 (x - 1)^{2} + 3 - 4

x^{3} + 3 x^{2} > - x - 3

\frac{d}{d p} (p r t)

simplify (sqrt(2)-sqrt(10))/(sqrt(2)+\sqrt{10)}simplify

\frac{2 - 10}{2 + 10}

Frequently Asked Questions (FAQ)

What is 5-|x+4|<=-3 ?
The solution to 5-|x+4|<=-3 is x<=-12\lor x>= 4