en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

| x/2-2|<= 6

Solution

\frac{x}{2} - 2 \leq 6

Solution

- 8 \leq x \leq 16

+1

Interval Notation

[- 8, 16]

Solution steps

\frac{x}{2} - 2 \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq \frac{x}{2} - 2 \leq 6

\frac{x}{2} - 2 \geq - 6 and \frac{x}{2} - 2 \leq 6

x \geq - 8 and x \leq 16

Merge Overlapping Intervals

- 8 \leq x \leq 16

Popular Examples

0 = - 2 (5) - 5

factor 2sqrt(6-4\sqrt{8+3\sqrt{10)}}factor

2 6 - 4 8 + 310

simplify 13/24-1/24 simplify

\frac{13}{24} - \frac{1}{24}

factor 3x^2+8x+4 factor

3 x^{2} + 8 x + 4

simplify 2+2/3 simplify

2 + \frac{2}{3}

Frequently Asked Questions (FAQ)

What is | x/2-2|<= 6 ?
The solution to | x/2-2|<= 6 is -8<= x<= 16