en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-2|3x-2|<=-10

Solution

- 2 ∣ 3 x - 2 ∣ \leq - 10

Solution

x \leq - 1 or x \geq \frac{7}{3}

+2

Interval Notation

(- \infty, - 1] \cup [\frac{7}{3}, \infty)

Decimal Notation

x \leq - 1 or x \geq 2.33333 \dots

Solution steps

- 2 ∣ 3 x - 2 ∣ \leq - 10

Multiply both sides by

- 1

2 ∣ 3 x - 2 ∣ \geq 10

Divide both sides by

2

∣ 3 x - 2 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 2 \leq - 5 or 3 x - 2 \geq 5

3 x - 2 \leq - 5 or 3 x - 2 \geq 5

x \leq - 1 or x \geq \frac{7}{3}

Popular Examples

2 y - 3 = 15

- \frac{1}{3} x + 9 \leq 0

simplify \sqrt[3]{y^6}simplify

3 \cdot ∣ x + 2 ∣ - 17 = - 8

v^{2} - 12 v + 21 = 10

Frequently Asked Questions (FAQ)

What is -2|3x-2|<=-10 ?
The solution to -2|3x-2|<=-10 is x<=-1\lor x>= 7/3