Answer:
the range of x are [tex]2<x<3[/tex]
Step-by-step explanation:
Step 1:-
The given system of equation is [tex]x^{2} -5 x+6<0[/tex]
Find the factors of the given equation [tex]x^{2} -5 x+6<0[/tex]
⇒ [tex]x^{2} -2 x -3 x +6<0[/tex]
⇒ [tex]x(x-2)-3(x-2)<0[/tex]
⇒[tex](x-2)(x-3)<0[/tex]
⇒[tex]x-2<0 and x-3<0[/tex]
step2:-
The range of x is [tex]x<3 and 2>x[/tex]
The range of x [tex]2<x<3[/tex]
