Question

Solve: 3/x-4 >0
x < 4
x > -4
x > 4
x < -4

Answer 1

`\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}`

`:\implies{(3)/(x-4)>0}\\\\:\hookrightarrow{(3)/(x-4)×(1)/(3)>0×(1)/(3)}\\\\:\longrightarrow{x-4>0}\\\\:\implies{x-4+4>0+4}\\\\ :\dashrightarrow{\sf{x>4}}`

Answer 2

x>4

Explanation:

3/(x-4) >0

Divide each side by 3

3/(x-4) * 1/3 >0*1/3

1/(x-4) >0

We know if 1/(x-4) >0 then x-4 > 0

x-4>0

Add 4 to each side

x-4+4 >0+4

x>4