What is ((x-3))/((2x-1))>= 4 ?

The solution to ((x-3))/((2x-1))>= 4 is 1/7 <= x< 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-3))/((2x-1))>= 4

\frac{( x - 3 )}{( 2 x - 1 )} \geq 4

\frac{1}{7} \leq x < \frac{1}{2}

Interval Notation

[\frac{1}{7}, \frac{1}{2})

Decimal Notation

0.14285 \dots \leq x < 0.5

Solution steps

\frac{x - 3}{2 x - 1} \geq 4

Rewrite in standard form

\frac{- 7 x + 1}{2 x - 1} \geq 0

Identify the intervals

\frac{1}{7} \leq x < \frac{1}{2}

5 [- (4 - 3 x)] < 2 (7 x + 9)

\frac{( 7 x - 2 )}{( 2 - x )} \leq 2

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

3 x (x - 5) - 13 > 3 x^{2} - 2 x

3 x - 10 - 2 x^{2} < 0

What is ((x-3))/((2x-1))>= 4 ?
The solution to ((x-3))/((2x-1))>= 4 is 1/7 <= x< 1/2