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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{2} < x \leq 4

Interval Notation

(\frac{1}{2}, 4]

Decimal Notation

0.5 < x \leq 4

Solution steps

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

Rewrite in standard form

\frac{- x + 4}{2 x - 1} \geq 0

Identify the intervals

\frac{1}{2} < x \leq 4

\frac{2 x ^{2} - x - 3}{8} \geq 1

\frac{10 x}{( x ^{2} + 9 )} \leq 1

\frac{2}{x - 3} < 0

x - > 2 (\frac{2}{( x - 1 )})

\frac{( x + 5 )}{( x ^{2} - 3 x - 4 )} > 0

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