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Popular >

4|x+9|-8>= 4

Solution

4 ∣ x + 9 ∣ - 8 \geq 4

Solution

x \leq - 12 or x \geq - 6

+1

Interval Notation

(- \infty, - 12] \cup [- 6, \infty)

Solution steps

4 ∣ x + 9 ∣ - 8 \geq 4

Move

8

to the right side

4 ∣ x + 9 ∣ \geq 12

Divide both sides by

4

∣ x + 9 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 9 \leq - 3 or x + 9 \geq 3

x + 9 \leq - 3 or x + 9 \geq 3

x \leq - 12 or x \geq - 6

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Frequently Asked Questions (FAQ)

What is 4|x+9|-8>= 4 ?
The solution to 4|x+9|-8>= 4 is x<=-12\lor x>=-6