en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|2y-6|-3>= 15

Solution

∣ 2 y - 6 ∣ - 3 \geq 15

Solution

y \leq - 6 or y \geq 12

+1

Interval Notation

(- \infty, - 6] \cup [12, \infty)

Solution steps

∣ 2 y - 6 ∣ - 3 \geq 15

Move

3

to the right side

∣ 2 y - 6 ∣ \geq 18

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 y - 6 \leq - 18 or 2 y - 6 \geq 18

2 y - 6 \leq - 18 or 2 y - 6 \geq 18

y \leq - 6 or y \geq 12

Popular Examples

∣ 2 - 3 x ∣ > 7

simplify (2.25(11.97))/(0.0125(29*10^6))simplify

\frac{2.25 ( 11.97 )}{0.0125 ( 29 \cdot 1 0 ^{6} )}

15 x - 21 = - 111

simplify (10xz)/(15yz)simplify

\frac{10 x z}{15 yz}

simplify (-5+5)/2 simplify

\frac{- 5 + 5}{2}

Frequently Asked Questions (FAQ)

What is |2y-6|-3>= 15 ?
The solution to |2y-6|-3>= 15 is y<=-6\lor y>= 12