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Popular >

9-|2x+8|<= 7

Solution

9 - ∣ 2 x + 8 ∣ \leq 7

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

(- \infty, - 5] \cup [- 3, \infty)

Solution steps

9 - ∣ 2 x + 8 ∣ \leq 7

Move

9

to the right side

- ∣ 2 x + 8 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 8 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 8 \leq - 2 or 2 x + 8 \geq 2

2 x + 8 \leq - 2 or 2 x + 8 \geq 2

x \leq - 5 or x \geq - 3

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- 5 x^{2} + 9 = 9 x + 13

Frequently Asked Questions (FAQ)

What is 9-|2x+8|<= 7 ?
The solution to 9-|2x+8|<= 7 is x<=-5\lor x>=-3