en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9-|3(b-4)-b|<= 7

Solution

9 - ∣ 3 (b - 4) - b ∣ \leq 7

Solution

b \leq 5 or b \geq 7

+1

Interval Notation

(- \infty, 5] \cup [7, \infty)

Solution steps

9 - ∣ 3 (b - 4) - b ∣ \leq 7

Move

9

to the right side

- ∣ 3 (b - 4) - b ∣ \leq - 2

Multiply both sides by

- 1

∣ 3 (b - 4) - b ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 (b - 4) - b \leq - 2 or 3 (b - 4) - b \geq 2

3 (b - 4) - b \leq - 2 or 3 (b - 4) - b \geq 2

b \leq 5 or b \geq 7

Popular Examples

factor x^2-xy-30y^2 factor

x^{2} - x y - 30 y^{2}

factor 25-36x^2 factor

25 - 36 x^{2}

- 3 x^{2} = 27

2 x - 5 = x + 10

- 1.13 - d > - 4.13

Frequently Asked Questions (FAQ)

What is 9-|3(b-4)-b|<= 7 ?
The solution to 9-|3(b-4)-b|<= 7 is b<= 5\lor b>= 7