en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|1-3x|+2>= 5

Solution

∣ 1 - 3 x ∣ + 2 \geq 5

Solution

x \leq - \frac{2}{3} or x \geq \frac{4}{3}

+2

Interval Notation

(- \infty, - \frac{2}{3}] \cup [\frac{4}{3}, \infty)

Decimal Notation

x \leq - 0.66666 \dots or x \geq 1.33333 \dots

Solution steps

∣ 1 - 3 x ∣ + 2 \geq 5

Move

2

to the right side

∣ 1 - 3 x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

1 - 3 x \leq - 3 or 1 - 3 x \geq 3

1 - 3 x \leq - 3 or 1 - 3 x \geq 3

x \leq - \frac{2}{3} or x \geq \frac{4}{3}

Popular Examples

x^{2} + 2 x + 1 = 5 x + 19

factor 8a^3+1 factor

8 a^{3} + 1

x^{2} + x + 100 = 0

x^{2} - 9 x + 11 = 0

10 + 0.15 p = 16.45

Frequently Asked Questions (FAQ)

What is |1-3x|+2>= 5 ?
The solution to |1-3x|+2>= 5 is x<=-2/3 \lor x>= 4/3