What is the answer to |x-2|+|x+3|=5 ?

The answer to |x-2|+|x+3|=5 is -3<= x<= 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-2|+|x+3|=5

∣ x - 2 ∣ + ∣ x + 3 ∣ = 5

- 3 \leq x \leq 2

Solution steps

∣ x - 2 ∣ + ∣ x + 3 ∣ = 5

Find positive and negative intervals

x < - 3, - 3 \leq x < 2, x \geq 2

Solve the inequality for each interval

No Solution or - 3 \leq x < 2 or x = 2

Merge Overlapping Intervals

- 3 \leq x \leq 2

lo g_{3} (3) = x

\frac{2}{3} (6)

∣ x - 7 ∣ = 7

\frac{a}{5} < 1

z^{2} + 6 z + 9