en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5|x+2|+8<= 53

Solution

5 ∣ x + 2 ∣ + 8 \leq 53

Solution

- 11 \leq x \leq 7

+1

Interval Notation

[- 11, 7]

Solution steps

5 ∣ x + 2 ∣ + 8 \leq 53

Move

8

to the right side

5 ∣ x + 2 ∣ \leq 45

Divide both sides by

5

∣ x + 2 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq x + 2 \leq 9

x + 2 \geq - 9 and x + 2 \leq 9

x \geq - 11 and x \leq 7

Merge Overlapping Intervals

- 11 \leq x \leq 7

Popular Examples

(2x+3)/6 >= (5x-7)/2

\frac{2 x + 3}{6} \geq \frac{5 x - 7}{2}

ln (250) = 5.521

factor p^4(m-2n)+q(m-2n)factor

p^{4} (m - 2 n) + q (m - 2 n)

x + 2 = - 1

2v^2-13v+2=(v-4)^2

2 v^{2} - 13 v + 2 = (v - 4)^{2}

Frequently Asked Questions (FAQ)

What is 5|x+2|+8<= 53 ?
The solution to 5|x+2|+8<= 53 is -11<= x<= 7