en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9-|2x+7|<= 6

Solution

9 - ∣ 2 x + 7 ∣ \leq 6

Solution

x \leq - 5 or x \geq - 2

+1

Solution steps

9 - ∣ 2 x + 7 ∣ \leq 6

Move

9

to the right side

- ∣ 2 x + 7 ∣ \leq - 3

Multiply both sides by

- 1

∣ 2 x + 7 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x + 7 \leq - 3 or 2 x + 7 \geq 3

2 x + 7 \leq - 3 or 2 x + 7 \geq 3

x \leq - 5 or x \geq - 2

Popular Examples

-1/2+3<= x+1<= 1/2+3

- \frac{1}{2} + 3 \leq x + 1 \leq \frac{1}{2} + 3

simplify (-3 1/2)^2 simplify

(- 3 \frac{1}{2})^{2}

(1^2+4+1)/((1^2+1+1)^2)

\frac{1 ^{2} + 4 + 1}{( 1 ^{2} + 1 + 1 ) ^{2}}

(x+6)(x-2)(x-5)<0

(x + 6) (x - 2) (x - 5) < 0

58 - 10 x \leq 20 + 9 x

Frequently Asked Questions (FAQ)

What is 9-|2x+7|<= 6 ?
The solution to 9-|2x+7|<= 6 is x<=-5\lor x>=-2