en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-7|x+12|<=-14

Solution

- 7 ∣ x + 12 ∣ \leq - 14

Solution

x \leq - 14 or x \geq - 10

+1

Interval Notation

(- \infty, - 14] \cup [- 10, \infty)

Solution steps

- 7 ∣ x + 12 ∣ \leq - 14

Multiply both sides by

- 1

7 ∣ x + 12 ∣ \geq 14

Divide both sides by

7

∣ x + 12 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 12 \leq - 2 or x + 12 \geq 2

x + 12 \leq - 2 or x + 12 \geq 2

x \leq - 14 or x \geq - 10

Popular Examples

simplify (2sqrt(2))/(sqrt(3))simplify

\frac{2 2}{3}

factor 2a^2-9a-18 factor

2 a^{2} - 9 a - 18

simplify 1/2*(1/4)^2 simplify

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

simplify ln(-2)simplify

ln (- 2)

simplify (8a^3b^{3/2})^{2/3}simplify

(8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is -7|x+12|<=-14 ?
The solution to -7|x+12|<=-14 is x<=-14\lor x>=-10