Question

x²-5x+6/(x-4)>0 thenx €​

Answer 1

Step-by-step explanation:

We have,

$\frac{ {x}^{2} - 5x + 6 }{x - 4} > 0$

$\implies \frac{ {x}^{2} - 3x - 2x+ 6 }{x - 4} > 0$

$\implies \frac{ x(x- 3) - 2(x - 3)}{x - 4} > 0$

$\implies \frac{ (x - 2)(x- 3)}{x - 4} > 0$

$x \in (2,3) U (4, \infty)$