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Popular >

-|9+3x|+3<= 0

Solution

- ∣ 9 + 3 x ∣ + 3 \leq 0

Solution

x \leq - 4 or x \geq - 2

+1

Interval Notation

(- \infty, - 4] \cup [- 2, \infty)

Solution steps

- ∣ 9 + 3 x ∣ + 3 \leq 0

Move

3

to the right side

- ∣ 9 + 3 x ∣ \leq - 3

Multiply both sides by

- 1

∣ 9 + 3 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 4 or x \geq - 2

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Frequently Asked Questions (FAQ)

What is -|9+3x|+3<= 0 ?
The solution to -|9+3x|+3<= 0 is x<=-4\lor x>=-2