en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|w-2|<= 5

Solution

∣ w - 2 ∣ \leq 5

Solution

- 3 \leq w \leq 7

+1

Interval Notation

[- 3, 7]

Solution steps

∣ w - 2 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq w - 2 \leq 5

w - 2 \geq - 5 and w - 2 \leq 5

w \geq - 3 and w \leq 7

Merge Overlapping Intervals

- 3 \leq w \leq 7

Popular Examples

- 2 = \frac{x}{4} + 1

simplify (1/4)^2+5-[3(1/4-2/7)+1]simplify

(\frac{1}{4})^{2} + 5 - [3 (\frac{1}{4} - \frac{2}{7}) + 1]

(5x)/(11)+4/11 =-1/11

\frac{5 x}{11} + \frac{4}{11} = - \frac{1}{11}

220 = 18 x + 26 x

simplify 6/9+15/25-8/15 simplify

\frac{6}{9} + \frac{15}{25} - \frac{8}{15}

Frequently Asked Questions (FAQ)

What is |w-2|<= 5 ?
The solution to |w-2|<= 5 is -3<= w<= 7