What is (((|x+1|+5))/(|2-x|))>5 ?

The solution to (((|x+1|+5))/(|2-x|))>5 is 2/3 <x<2\lor 2<x<4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(((|x+1|+5))/(|2-x|))>5

(\frac{( ∣ x + 1 ∣ + 5 )}{∣ 2 - x ∣}) > 5

\frac{2}{3} < x < 2 or 2 < x < 4

Interval Notation

(\frac{2}{3}, 2) \cup (2, 4)

Decimal Notation

0.66666 \dots < x < 2 or 2 < x < 4

Solution steps

\frac{∣ x + 1 ∣ + 5}{∣ 2 - x ∣} > 5

Find positive and negative intervals

x < - 1, - 1 \leq x \leq 2, x > 2

Solve the inequality for each interval

No Solution or \frac{2}{3} < x < 2 or 2 < x < 4

Merge Overlapping Intervals

\frac{2}{3} < x < 2 or 2 < x < 4

∣ 2 x + 4.5 ∣ > ∣ x - 2.7 ∣

x, f > - ∣ x - 2 ∣ + 4

(a) ∣ x - 2 ∣ \leq ∣ x + 4 ∣

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

2 x^{2} - 5 x + 1 \geq 2

What is (((|x+1|+5))/(|2-x|))>5 ?
The solution to (((|x+1|+5))/(|2-x|))>5 is 2/3 <x<2\lor 2<x<4