en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-2|>= 7

Solution

∣ 3 x - 2 ∣ \geq 7

Solution

x \leq - \frac{5}{3} or x \geq 3

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [3, \infty)

Decimal Notation

x \leq - 1.66666 \dots or x \geq 3

Solution steps

∣ 3 x - 2 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 2 \leq - 7 or 3 x - 2 \geq 7

3 x - 2 \leq - 7 or 3 x - 2 \geq 7

x \leq - \frac{5}{3} or x \geq 3

Popular Examples

3 x^{2} - 5 x - 10 = 0

0 \cdot x = - 3

factor (4c-d)(c+5d)-9(d-4c)factor

(4 c - d) (c + 5 d) - 9 (d - 4 c)

simplify (7pi}{12}*\frac{180)/pi simplify

\frac{7 π}{12} \cdot \frac{180}{π}

25 x + 30 = 125 - 5 x

Frequently Asked Questions (FAQ)

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