en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|3k+4|>= 8

Solution

∣ 3 k + 4 ∣ \geq 8

Solution

k \leq - 4 or k \geq \frac{4}{3}

+2

Interval Notation

(- \infty, - 4] \cup [\frac{4}{3}, \infty)

Decimal Notation

k \leq - 4 or k \geq 1.33333 \dots

Solution steps

∣ 3 k + 4 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 k + 4 \leq - 8 or 3 k + 4 \geq 8

3 k + 4 \leq - 8 or 3 k + 4 \geq 8

k \leq - 4 or k \geq \frac{4}{3}

Popular Examples

3 x^{2} - x - 70 = 0

simplify-6sqrt(10)+sqrt(160)simplify

- 610 + 160

3x^2-3x<2x^2+10

3 x^{2} - 3 x < 2 x^{2} + 10

factor 3a+5a^2 factor

3 a + 5 a^{2}

simplify 1/4 (-8)simplify

\frac{1}{4} (- 8)

Frequently Asked Questions (FAQ)

What is |3k+4|>= 8 ?
The solution to |3k+4|>= 8 is k<=-4\lor k>= 4/3