en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-2|> 1/3

Solution

∣ 3 x - 2 ∣ > \frac{1}{3}

Solution

x < \frac{5}{9} or x > \frac{7}{9}

+2

Interval Notation

(- \infty, \frac{5}{9}) \cup (\frac{7}{9}, \infty)

Decimal Notation

x < 0.55555 \dots or x > 0.77777 \dots

Solution steps

∣ 3 x - 2 ∣ > \frac{1}{3}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 x - 2 < - \frac{1}{3} or 3 x - 2 > \frac{1}{3}

3 x - 2 < - \frac{1}{3} or 3 x - 2 > \frac{1}{3}

x < \frac{5}{9} or x > \frac{7}{9}

Popular Examples

factor 6y^3x^2-2xy^4 factor

6 y^{3} x^{2} - 2 x y^{4}

4 x^{2} - 4 x + 1 < 0

factor 4m^2-1 factor

4 m^{2} - 1

0.6x+0.3<1.1x+0.8

0.6 x + 0.3 < 1.1 x + 0.8

simplify (e^{2y})/(e^y)simplify

\frac{e ^{2 y}}{e ^{y}}

Frequently Asked Questions (FAQ)

What is |3x-2|> 1/3 ?
The solution to |3x-2|> 1/3 is x< 5/9 \lor x> 7/9