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Popular >

-2|6+3x|+6<=-12

Solution

- 2 ∣ 6 + 3 x ∣ + 6 \leq - 12

Solution

x \leq - 5 or x \geq 1

+1

Interval Notation

(- \infty, - 5] \cup [1, \infty)

Solution steps

- 2 ∣ 6 + 3 x ∣ + 6 \leq - 12

Move

6

to the right side

- 2 ∣ 6 + 3 x ∣ \leq - 18

Multiply both sides by

- 1

2 ∣ 6 + 3 x ∣ \geq 18

Divide both sides by

2

∣ 6 + 3 x ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

6 + 3 x \leq - 9 or 6 + 3 x \geq 9

6 + 3 x \leq - 9 or 6 + 3 x \geq 9

x \leq - 5 or x \geq 1

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0 = 12 x - (x - 6)

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Frequently Asked Questions (FAQ)

What is -2|6+3x|+6<=-12 ?
The solution to -2|6+3x|+6<=-12 is x<=-5\lor x>= 1