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Popular >

9-|2x+4|<= 7

Solution

9 - ∣ 2 x + 4 ∣ \leq 7

Solution

x \leq - 3 or x \geq - 1

+1

Interval Notation

(- \infty, - 3] \cup [- 1, \infty)

Solution steps

9 - ∣ 2 x + 4 ∣ \leq 7

Move

9

to the right side

- ∣ 2 x + 4 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 4 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 4 \leq - 2 or 2 x + 4 \geq 2

2 x + 4 \leq - 2 or 2 x + 4 \geq 2

x \leq - 3 or x \geq - 1

Popular Examples

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68 = 140 t - 16 t^{2}

simplify 4sqrt(48)simplify

448

9^{2} + 9^{2} = c^{2}

y^{2} + 13 = 6 y

Frequently Asked Questions (FAQ)

What is 9-|2x+4|<= 7 ?
The solution to 9-|2x+4|<= 7 is x<=-3\lor x>=-1