en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-5|<2

Solution

∣ 3 x - 5 ∣ < 2

Solution

1 < x < \frac{7}{3}

+2

Interval Notation

(1, \frac{7}{3})

Decimal

1 < x < 2.33333 \dots

Solution steps

∣ 3 x - 5 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 3 x - 5 < 2

3 x - 5 > - 2 and 3 x - 5 < 2

x > 1 and x < \frac{7}{3}

Merge Overlapping Intervals

1 < x < \frac{7}{3}

Graph

Popular Examples

simplify (1/27)^{4/3}simplify

(\frac{1}{27})^{\frac{4}{3}}

x^{2} - 17 x + 72 = 0

simplify sqrt(7056)simplify

7056

factor 2t^2+5t-12 factor

2 t^{2} + 5 t - 12

3 x - 7 > 2

Frequently Asked Questions (FAQ)

What is |3x-5|<2 ?
The solution to |3x-5|<2 is 1<x< 7/3