Question

x squrared -5x+6<0 what is the value ranges of x

Answer 1

Answer:

(x-2)(x-3)<0

x<2

x<3

2<x<3

Answer 2

Answer:

the range of x are $2<x<3$

Step-by-step explanation:

Step 1:-

The given system of equation is $x^{2} -5 x+6<0$

Find the factors of the given equation $x^{2} -5 x+6<0$

⇒  $x^{2} -2 x -3 x +6<0$

 ⇒ $x(x-2)-3(x-2)<0$

⇒$(x-2)(x-3)<0$

⇒$x-2<0 and x-3<0$

step2:-

The range of x   is  $x<3  and  2>x$

The range of x  $2<x<3$