Question

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

Answer 1

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

x<2

x<3

2<x<3

Answer 2

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

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`