Which of the following points is in the solution set of y < x2 - 4x + 3? (-3, 0) (1, 0) (2, -1)

(-3,0) and (2,-1)

Step-by-step explanation:

For (-3,0)  x=-3 , y=0:

Putting in given inequality :

y < x2 - 4x + 3

0 < -3^2 -4*-3 +3     ("-" into "-" becomes "+")

0 <  9 +12 +3

0< 24   true

For (2, -1)  x=2 , y= -1

Putting in given inequality :

y < x2 - 4x + 3

-1 < 2^2 -4(2) +3

-1 < 4 -6 +3

-1 < 7-6

-1 < 1  true

For (1,0)  x=1 y=0

Putting in given inequality :

y < x2 - 4x + 3

0 < 1^2 -4(1)+ 3

0< 1- 4 + 3

0< 4 - 4

0 < 0  false

Hence, (-3,0) and (2,-1) are in the solution set of y < x2 - 4x + 3.

I hope it will help you!

36 is the final answer! : )