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Popular >

8-|2x+9|<= 5

Solution

8 - ∣ 2 x + 9 ∣ \leq 5

Solution

x \leq - 6 or x \geq - 3

+1

Solution steps

8 - ∣ 2 x + 9 ∣ \leq 5

Move

8

to the right side

- ∣ 2 x + 9 ∣ \leq - 3

Multiply both sides by

- 1

∣ 2 x + 9 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 9 \leq - 3 or 2 x + 9 \geq 3

2 x + 9 \leq - 3 or 2 x + 9 \geq 3

x \leq - 6 or x \geq - 3

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Frequently Asked Questions (FAQ)

What is 8-|2x+9|<= 5 ?
The solution to 8-|2x+9|<= 5 is x<=-6\lor x>=-3