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Popular >

7-|2x+9|<= 2

Solution

7 - ∣ 2 x + 9 ∣ \leq 2

Solution

x \leq - 7 or x \geq - 2

+1

Solution steps

7 - ∣ 2 x + 9 ∣ \leq 2

Move

7

to the right side

- ∣ 2 x + 9 ∣ \leq - 5

Multiply both sides by

- 1

∣ 2 x + 9 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 9 \leq - 5 or 2 x + 9 \geq 5

2 x + 9 \leq - 5 or 2 x + 9 \geq 5

x \leq - 7 or x \geq - 2

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Frequently Asked Questions (FAQ)

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