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Popular >

9-|2x+6|<= 7

Solution

9 - ∣ 2 x + 6 ∣ \leq 7

Solution

x \leq - 4 or x \geq - 2

+1

Interval Notation

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

Solution steps

9 - ∣ 2 x + 6 ∣ \leq 7

Move

9

to the right side

- ∣ 2 x + 6 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 6 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 6 \leq - 2 or 2 x + 6 \geq 2

2 x + 6 \leq - 2 or 2 x + 6 \geq 2

x \leq - 4 or x \geq - 2

Popular Examples

\frac{x}{8} = 3

factor 3x^2+7x+25(x-3)factor

3 x^{2} + 7 x + 25 (x - 3)

- x^{2} + 18 = 14

∣ x + 1 ∣ = - 3

- 9 = 3 y

Frequently Asked Questions (FAQ)

What is 9-|2x+6|<= 7 ?
The solution to 9-|2x+6|<= 7 is x<=-4\lor x>=-2