en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/((x-5))<3

Solution

\frac{1}{( x - 5 )} < 3

Solution

x < 5 or x > \frac{16}{3}

+2

Interval Notation

(- \infty, 5) \cup (\frac{16}{3}, \infty)

Decimal Notation

x < 5 or x > 5.33333 \dots

Solution steps

\frac{1}{x - 5} < 3

Rewrite in standard form

\frac{- 3 x + 16}{x - 5} < 0

Identify the intervals

x < 5 or x > \frac{16}{3}

Popular Examples

2/((x-1))<= 3/((2x-3))

\frac{2}{( x - 1 )} \leq \frac{3}{( 2 x - 3 )}

(x-1)(x-5)(x-15)<= 0,(x-3)(x-10)>0

(x - 1) (x - 5) (x - 15) \leq 0, (x - 3) (x - 10) > 0

[x + 6] > 4

((x+5)(x-9))/((x-12))>0

\frac{( x + 5 ) ( x - 9 )}{( x - 12 )} > 0

(x^2-4)(x^3-5x^2+6x)>= 0

(x^{2} - 4) (x^{3} - 5 x^{2} + 6 x) \geq 0

Frequently Asked Questions (FAQ)

What is 1/((x-5))<3 ?
The solution to 1/((x-5))<3 is x<5\lor x> 16/3