What is (x+2)/(|x|-4)>=-1 ?

The solution to (x+2)/(|x|-4)>=-1 is -4 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+2)/(|x|-4)>=-1

\frac{x + 2}{∣ x ∣ - 4} \geq - 1

- 4 < x \leq 1 or x > 4

Interval Notation

(- 4, 1] \cup (4, \infty)

Solution steps

\frac{x + 2}{∣ x ∣ - 4} \geq - 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or - 4 < x < 0 or 0 \leq x \leq 1 or x > 4

Merge Overlapping Intervals

- 4 < x \leq 1 or x > 4

x^{2} + 7 x - 30

\frac{a ^{- 2} b ^{4}}{3 a ^{- 3}}

a^{2} b^{8} - c^{2}

4 k^{2} + 28 k + 48

\frac{14 a}{11} > \frac{4}{3}

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