en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1<(3x-2)/(x+1)<4

Solution

1 < \frac{3 x - 2}{x + 1} < 4

Solution

x < - 6 or x > \frac{3}{2}

+2

Interval Notation

(- \infty, - 6) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < - 6 or x > 1.5

Solution steps

1 < \frac{3 x - 2}{x + 1} < 4

If

a < u < b

then

a < u and u < b

1 < \frac{3 x - 2}{x + 1} and \frac{3 x - 2}{x + 1} < 4

1 < \frac{3 x - 2}{x + 1} : x < - 1 or x > \frac{3}{2}

\frac{3 x - 2}{x + 1} < 4 : x < - 6 or x > - 1

Combine the intervals

(x < - 1 or x > \frac{3}{2}) and (x < - 6 or x > - 1)

Merge Overlapping Intervals

x < - 6 or x > \frac{3}{2}

Popular Examples

factor 2m^4-10m^2-28 factor

2 m^{4} - 10 m^{2} - 28

∣ 2 y - 7 ∣ \geq 14

(x+2)^2(x+5)(x+9)>= 0

(x + 2)^{2} (x + 5) (x + 9) \geq 0

y^{2} - 4 y + 20 = 0

3 (x + 9)^{2} = 60

Frequently Asked Questions (FAQ)

What is 1<(3x-2)/(x+1)<4 ?
The solution to 1<(3x-2)/(x+1)<4 is x<-6\lor x> 3/2