en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3x+4|>= 13

Solution

∣ 3 x + 4 ∣ \geq 13

Solution

x \leq - \frac{17}{3} or x \geq 3

+2

Interval Notation

(- \infty, - \frac{17}{3}] \cup [3, \infty)

Decimal Notation

x \leq - 5.66666 \dots or x \geq 3

Solution steps

∣ 3 x + 4 ∣ \geq 13

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 x + 4 \leq - 13 or 3 x + 4 \geq 13

3 x + 4 \leq - 13 or 3 x + 4 \geq 13

x \leq - \frac{17}{3} or x \geq 3

Popular Examples

factor 4x^2-16 factor

4 x^{2} - 16

∣ x ∣ + 19 \leq 3

16=((9*10^9)(120*10^{-6}-y)y)/((1.2)^2)

16 = \frac{( 9 \cdot 1 0 ^{9} ) ( 120 \cdot 1 0 ^{- 6} - y ) y}{( 1.2 ) ^{2}}

factor 4x^2-40x+24 factor

4 x^{2} - 40 x + 24

x (x - 12) + 8 \geq - 6 x

Frequently Asked Questions (FAQ)

What is |3x+4|>= 13 ?
The solution to |3x+4|>= 13 is x<=-17/3 \lor x>= 3