en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x-4|>= 9

Solution

∣ 3 x - 4 ∣ \geq 9

Solution

x \leq - \frac{5}{3} or x \geq \frac{13}{3}

+2

Interval Notation

(- \infty, - \frac{5}{3}] \cup [\frac{13}{3}, \infty)

Decimal Notation

x \leq - 1.66666 \dots or x \geq 4.33333 \dots

Solution steps

∣ 3 x - 4 ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x - 4 \leq - 9 or 3 x - 4 \geq 9

3 x - 4 \leq - 9 or 3 x - 4 \geq 9

x \leq - \frac{5}{3} or x \geq \frac{13}{3}

Popular Examples

simplify 1(10925590.85)(1/1-1/4)simplify

1 (10925590.85) (\frac{1}{1} - \frac{1}{4})

factor c^3+9c^2-c-9 factor

c^{3} + 9 c^{2} - c - 9

(((15-5x)/2)^2)+2.5(x)^2=27.5

((\frac{15 - 5 x}{2})^{2}) + 2.5 (x)^{2} = 27.5

x^2+(2x+4)^2=(2x+6)^2

x^{2} + (2 x + 4)^{2} = (2 x + 6)^{2}

∣ x - 3 ∣ = - 4

Frequently Asked Questions (FAQ)

What is |3x-4|>= 9 ?
The solution to |3x-4|>= 9 is x<=-5/3 \lor x>= 13/3