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Popular >

9-|2x+7|<= 6

Solution

9 - ∣ 2 x + 7 ∣ \leq 6

Solution

x \leq - 5 or x \geq - 2

+1

Interval Notation

(- \infty, - 5] \cup [- 2, \infty)

Solution steps

9 - ∣ 2 x + 7 ∣ \leq 6

Move

9

to the right side

- ∣ 2 x + 7 ∣ \leq - 3

Multiply both sides by

- 1

∣ 2 x + 7 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 7 \leq - 3 or 2 x + 7 \geq 3

2 x + 7 \leq - 3 or 2 x + 7 \geq 3

x \leq - 5 or x \geq - 2

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Frequently Asked Questions (FAQ)

What is 9-|2x+7|<= 6 ?
The solution to 9-|2x+7|<= 6 is x<=-5\lor x>=-2