en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|5x-2|+4>= 9

Solution

∣ 5 x - 2 ∣ + 4 \geq 9

Solution

x \leq - \frac{3}{5} or x \geq \frac{7}{5}

+2

Interval Notation

(- \infty, - \frac{3}{5}] \cup [\frac{7}{5}, \infty)

Decimal Notation

x \leq - 0.6 or x \geq 1.4

Solution steps

∣ 5 x - 2 ∣ + 4 \geq 9

Move

4

to the right side

∣ 5 x - 2 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{3}{5} or x \geq \frac{7}{5}

Popular Examples

y - 8 < - 3

-(3p-1)+5p=-23-p

- (3 p - 1) + 5 p = - 23 - p

∣ 2 x - 5 ∣ \leq 11

2 x^{2} - 8 = - 40

3 u \geq - 6

Frequently Asked Questions (FAQ)

What is |5x-2|+4>= 9 ?
The solution to |5x-2|+4>= 9 is x<=-3/5 \lor x>= 7/5