en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+3|<= 2

Solution

∣ x + 3 ∣ \leq 2

Solution

- 5 \leq x \leq - 1

+1

Interval Notation

[- 5, - 1]

Solution steps

∣ x + 3 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 3 \leq 2

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

x \geq - 5 and x \leq - 1

Merge Overlapping Intervals

- 5 \leq x \leq - 1

Popular Examples

5 = \frac{1}{3} (2 x + 12)

- 3 (x^{2} - 1) = 27

simplify ((z^2w^{-1})^3)/((z^3w^2)^2)simplify

\frac{( z ^{2} w ^{- 1} ) ^{3}}{( z ^{3} w ^{2} ) ^{2}}

simplify (1/x+1/y)^{-1}simplify

(\frac{1}{x} + \frac{1}{y})^{- 1}

simplify 1-(1/4)^4 simplify

1 - (\frac{1}{4})^{4}

Frequently Asked Questions (FAQ)

What is |x+3|<= 2 ?
The solution to |x+3|<= 2 is -5<= x<=-1