en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3-2x|<7

Solution

∣ 3 - 2 x ∣ < 7

Solution

- 2 < x < 5

+1

Interval Notation

(- 2, 5)

Solution steps

∣ 3 - 2 x ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 3 - 2 x < 7

3 - 2 x > - 7 and 3 - 2 x < 7

x < 5 and x > - 2

Merge Overlapping Intervals

- 2 < x < 5

Popular Examples

- 12 x + 4 = - 7 x - 16

simplify (sqrt(5)+sqrt(2))/(sqrt(5)-\sqrt{2)}simplify

\frac{5 + 2}{5 - 2}

5 = w + 12

3 x^{2} - 6 = - 6 x

factor 6y^2-66y-72 factor

6 y^{2} - 66 y - 72

Frequently Asked Questions (FAQ)

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