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Popular >

5-|2x+6|<= 3

Solution

5 - ∣ 2 x + 6 ∣ \leq 3

Solution

x \leq - 4 or x \geq - 2

+1

Interval Notation

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

Solution steps

5 - ∣ 2 x + 6 ∣ \leq 3

Move

5

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

Popular Examples

(x+2)^2=3131-2x

(x + 2)^{2} = 3131 - 2 x

(5x-3)/6+(x-5}{18}<\frac{x+1)/3

\frac{5 x - 3}{6} + \frac{x - 5}{18} < \frac{x + 1}{3}

3 w - 15 w - 16 = - 52

3 x \geq 12

- 2 x^{2} + x - 5 = 0

Frequently Asked Questions (FAQ)

What is 5-|2x+6|<= 3 ?
The solution to 5-|2x+6|<= 3 is x<=-4\lor x>=-2