en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5-|2x+8|<= 3

Solution

5 - ∣ 2 x + 8 ∣ \leq 3

Solution

x \leq - 5 or x \geq - 3

+1

Interval Notation

(- \infty, - 5] \cup [- 3, \infty)

Solution steps

5 - ∣ 2 x + 8 ∣ \leq 3

Move

5

to the right side

- ∣ 2 x + 8 ∣ \leq - 2

Multiply both sides by

- 1

∣ 2 x + 8 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 8 \leq - 2 or 2 x + 8 \geq 2

2 x + 8 \leq - 2 or 2 x + 8 \geq 2

x \leq - 5 or x \geq - 3

Popular Examples

∣ x - 2 ∣ - ∣ x - 3 ∣ = 4

simplify 4*(1/2)^{-1-1}-2 simplify

4 \cdot (\frac{1}{2})^{- 1 - 1} - 2

5 x + 8 = 18

- 7 = 15 w

factor 70x^2-90x+20 factor

70 x^{2} - 90 x + 20

Frequently Asked Questions (FAQ)

What is 5-|2x+8|<= 3 ?
The solution to 5-|2x+8|<= 3 is x<=-5\lor x>=-3