en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5|x-4|+6<= 26

Solution

5 ∣ x - 4 ∣ + 6 \leq 26

Solution

0 \leq x \leq 8

+1

Interval Notation

[0, 8]

Solution steps

5 ∣ x - 4 ∣ + 6 \leq 26

Move

6

to the right side

5 ∣ x - 4 ∣ \leq 20

Divide both sides by

5

∣ x - 4 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x - 4 \leq 4

x - 4 \geq - 4 and x - 4 \leq 4

x \geq 0 and x \leq 8

Merge Overlapping Intervals

0 \leq x \leq 8

Popular Examples

simplify 6*(1/3)^1 simplify

6 \cdot (\frac{1}{3})^{1}

25 c + 10 c^{2} = 0

1.06x-2<= 0.544

1.06 x - 2 \leq 0.544

5 x - 40 > 2 (2 + 8 x)

simplify sqrt(10)+sqrt(10)simplify

10 + 10

Frequently Asked Questions (FAQ)

What is 5|x-4|+6<= 26 ?
The solution to 5|x-4|+6<= 26 is 0<= x<= 8