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Popular >

7-|2x+6|<= 3

Solution

7 - ∣ 2 x + 6 ∣ \leq 3

Solution

x \leq - 5 or x \geq - 1

+1

Interval Notation

(- \infty, - 5] \cup [- 1, \infty)

Solution steps

7 - ∣ 2 x + 6 ∣ \leq 3

Move

7

to the right side

- ∣ 2 x + 6 ∣ \leq - 4

Multiply both sides by

- 1

∣ 2 x + 6 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 6 \leq - 4 or 2 x + 6 \geq 4

2 x + 6 \leq - 4 or 2 x + 6 \geq 4

x \leq - 5 or x \geq - 1

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Frequently Asked Questions (FAQ)

What is 7-|2x+6|<= 3 ?
The solution to 7-|2x+6|<= 3 is x<=-5\lor x>=-1