en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0<| 5/(X-1)|<3

Solution

0 < \frac{5}{X - 1} < 3

Solution

X < - \frac{2}{3} or X > \frac{8}{3}

+2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (\frac{8}{3}, \infty)

Decimal Notation

X < - 0.66666 \dots or X > 2.66666 \dots

Solution steps

0 < \frac{5}{X - 1} < 3

If

a < u < b

then

a < u and u < b

0 < \frac{5}{X - 1} and \frac{5}{X - 1} < 3

0 < \frac{5}{X - 1} : X < 1 or X > 1

\frac{5}{X - 1} < 3 : X < - \frac{2}{3} or X > \frac{8}{3}

Combine the intervals

(X < 1 or X > 1) and (X < - \frac{2}{3} or X > \frac{8}{3})

Merge Overlapping Intervals

X < - \frac{2}{3} or X > \frac{8}{3}

Popular Examples

-6(y+1)+8y=2(y-3)

- 6 (y + 1) + 8 y = 2 (y - 3)

4 (x + 1) = 3 x + 4

- 1 s < - 6

simplify (-a^6b)^2+9a^{12}b^2 simplify

(- a^{6} b)^{2} + 9 a^{12} b^{2}

x^{2} + 12 x - 45 = 0

Frequently Asked Questions (FAQ)

What is 0<| 5/(X-1)|<3 ?
The solution to 0<| 5/(X-1)|<3 is X<-2/3 \lor X> 8/3