en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|5x-3|+4>= 9

Solution

∣ 5 x - 3 ∣ + 4 \geq 9

Solution

x \leq - \frac{2}{5} or x \geq \frac{8}{5}

+2

Interval Notation

(- \infty, - \frac{2}{5}] \cup [\frac{8}{5}, \infty)

Decimal Notation

x \leq - 0.4 or x \geq 1.6

Solution steps

∣ 5 x - 3 ∣ + 4 \geq 9

Move

4

to the right side

∣ 5 x - 3 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - \frac{2}{5} or x \geq \frac{8}{5}

Popular Examples

2 x + \frac{x}{3} = \frac{7}{3}

3(3x-2)=(x+4)(4-x)

3 (3 x - 2) = (x + 4) (4 - x)

simplify (18x^8y^8)/(10x^3)simplify

\frac{18 x ^{8} y ^{8}}{10 x ^{3}}

factor x^{2-6x+8}factor

x^{2 - 6 x + 8}

5 - 6 ∣ 4 x + 2 ∣ = - 25

Frequently Asked Questions (FAQ)

What is |5x-3|+4>= 9 ?
The solution to |5x-3|+4>= 9 is x<=-2/5 \lor x>= 8/5