en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|4x-8|>= 3

Solution

∣ 4 x - 8 ∣ \geq 3

Solution

x \leq \frac{5}{4} or x \geq \frac{11}{4}

+2

Interval Notation

(- \infty, \frac{5}{4}] \cup [\frac{11}{4}, \infty)

Decimal Notation

x \leq 1.25 or x \geq 2.75

Solution steps

∣ 4 x - 8 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

4 x - 8 \leq - 3 or 4 x - 8 \geq 3

4 x - 8 \leq - 3 or 4 x - 8 \geq 3

x \leq \frac{5}{4} or x \geq \frac{11}{4}

Popular Examples

10 x^{2} + 7 x = 0

factor 5x^2-6x-27 factor

5 x^{2} - 6 x - 27

simplify sqrt(2)*2sqrt(2)simplify

2 \cdot 22

simplify \sqrt[3]{500}simplify

v^{2} + 5 v - 14 = 0

Frequently Asked Questions (FAQ)

What is |4x-8|>= 3 ?
The solution to |4x-8|>= 3 is x<= 5/4 \lor x>= 11/4