en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2|x-1|)/5 >= 2

Solution

\frac{2 ∣ x - 1 ∣}{5} \geq 2

Solution

x \leq - 4 or x \geq 6

+1

Interval Notation

(- \infty, - 4] \cup [6, \infty)

Solution steps

\frac{2 ∣ x - 1 ∣}{5} \geq 2

Multiply both sides by

5

2 ∣ x - 1 ∣ \geq 10

Divide both sides by

2

∣ x - 1 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 1 \leq - 5 or x - 1 \geq 5

x - 1 \leq - 5 or x - 1 \geq 5

x \leq - 4 or x \geq 6

Popular Examples

- 3 x^{2} = 0

factor 6x^2+5x-4 factor

6 x^{2} + 5 x - 4

factor (15a^8b^3)/(45a^7b)factor

\frac{15 a ^{8} b ^{3}}{45 a ^{7} b}

9 w - 126 = 45

x^{2} - 4 \leq - 2

Frequently Asked Questions (FAQ)

What is (2|x-1|)/5 >= 2 ?
The solution to (2|x-1|)/5 >= 2 is x<=-4\lor x>= 6