en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

| 2/x |<1

Solution

\frac{2}{x} < 1

Solution

x < - 2 or x > 2

+1

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

\frac{2}{x} < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < \frac{2}{x} < 1

\frac{2}{x} > - 1 and \frac{2}{x} < 1

(x < - 2 or x > 0) and (x < 0 or x > 2)

Merge Overlapping Intervals

x < - 2 or x > 2

Popular Examples

7 x + 49 = 2 x + 94

factor 5n^2+40n-525 factor

5 n^{2} + 40 n - 525

simplify (7/6)^2 simplify

(\frac{7}{6})^{2}

simplify (10!)/(3!(10-3)!)simplify

\frac{10 !}{3 ! ( 10 - 3 ) !}

factor 4x^2-9 factor

4 x^{2} - 9

Frequently Asked Questions (FAQ)

What is | 2/x |<1 ?
The solution to | 2/x |<1 is x<-2\lor x>2