en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-2|-5<=-2

Solution

∣ x - 2 ∣ - 5 \leq - 2

Solution

- 1 \leq x \leq 5

+1

Interval Notation

[- 1, 5]

Solution steps

∣ x - 2 ∣ - 5 \leq - 2

Move

5

to the right side

∣ x - 2 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 2 \leq 3

x - 2 \geq - 3 and x - 2 \leq 3

x \geq - 1 and x \leq 5

Merge Overlapping Intervals

- 1 \leq x \leq 5

Popular Examples

simplify (1/27)^{-2/3}simplify

(\frac{1}{27})^{- \frac{2}{3}}

factor 7x^3-35x factor

7 x^{3} - 35 x

4 x^{2} + 4 x = 0

factor-18x^2-39x-21 factor

- 18 x^{2} - 39 x - 21

factor-2-6i factor

- 2 - 6 i

Frequently Asked Questions (FAQ)

What is |x-2|-5<=-2 ?
The solution to |x-2|-5<=-2 is -1<= x<= 5