en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|5x+3|>= 4

Solution

∣ 5 x + 3 ∣ \geq 4

Solution

x \leq - \frac{7}{5} or x \geq \frac{1}{5}

+2

Interval Notation

(- \infty, - \frac{7}{5}] \cup [\frac{1}{5}, \infty)

Decimal Notation

x \leq - 1.4 or x \geq 0.2

Solution steps

∣ 5 x + 3 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

5 x + 3 \leq - 4 or 5 x + 3 \geq 4

5 x + 3 \leq - 4 or 5 x + 3 \geq 4

x \leq - \frac{7}{5} or x \geq \frac{1}{5}

Popular Examples

3 x - 8 = 3 (x - 4) + 1

simplify 3/(sqrt(5)-2)+2/(sqrt(5)+2)simplify

\frac{3}{5 - 2} + \frac{2}{5 + 2}

factor s^2+8s-9 factor

s^{2} + 8 s - 9

3 x - 8 = - 23

factor 4x^2+21x+5 factor

4 x^{2} + 21 x + 5

Frequently Asked Questions (FAQ)

What is |5x+3|>= 4 ?
The solution to |5x+3|>= 4 is x<=-7/5 \lor x>= 1/5