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Popular >

3-|2x+6|<= 1

Solution

3 - ∣ 2 x + 6 ∣ \leq 1

Solution

x \leq - 4 or x \geq - 2

+1

Interval Notation

(- \infty, - 4] \cup [- 2, \infty)

Solution steps

3 - ∣ 2 x + 6 ∣ \leq 1

Move

3

to the right side

- ∣ 2 x + 6 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 6 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 6 \leq - 2 or 2 x + 6 \geq 2

2 x + 6 \leq - 2 or 2 x + 6 \geq 2

x \leq - 4 or x \geq - 2

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Frequently Asked Questions (FAQ)

What is 3-|2x+6|<= 1 ?
The solution to 3-|2x+6|<= 1 is x<=-4\lor x>=-2