en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5|x+8|-5<= 15

Solution

5 ∣ x + 8 ∣ - 5 \leq 15

Solution

- 12 \leq x \leq - 4

+1

Interval Notation

[- 12, - 4]

Solution steps

5 ∣ x + 8 ∣ - 5 \leq 15

Move

5

to the right side

5 ∣ x + 8 ∣ \leq 20

Divide both sides by

5

∣ x + 8 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x + 8 \leq 4

x + 8 \geq - 4 and x + 8 \leq 4

x \geq - 12 and x \leq - 4

Merge Overlapping Intervals

- 12 \leq x \leq - 4

Popular Examples

2 x^{2} < - 3 x + 5

simplify 1/2*5/9 simplify

\frac{1}{2} \cdot \frac{5}{9}

12 x - 15 = 6 - 3 x

x^{2} - 3 x - 4 \geq 0

simplify 5000/12+50000/75 simplify

\frac{5000}{12} + \frac{50000}{75}

Frequently Asked Questions (FAQ)

What is 5|x+8|-5<= 15 ?
The solution to 5|x+8|-5<= 15 is -12<= x<=-4