en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-2|<= 4

Solution

∣ x - 2 ∣ \leq 4

Solution

- 2 \leq x \leq 6

+1

Interval Notation

[- 2, 6]

Solution steps

∣ x - 2 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x - 2 \leq 4

x - 2 \geq - 4 and x - 2 \leq 4

x \geq - 2 and x \leq 6

Merge Overlapping Intervals

- 2 \leq x \leq 6

Popular Examples

simplify (4x-y)/(x-y)+(x-3y)/(y-x)simplify

\frac{4 x - y}{x - y} + \frac{x - 3 y}{y - x}

simplify 7/10-5/8 simplify

\frac{7}{10} - \frac{5}{8}

2 v^{2} - 5 = 155

29 x + 11 = 29 x - 11

9 - 1.25 \leq 15.25

Frequently Asked Questions (FAQ)

What is |x-2|<= 4 ?
The solution to |x-2|<= 4 is -2<= x<= 6