Question

Which ordered pair is in the solution set of the following system of inequalities?

y<1/2x+4
y>-x+1

a) (-5,3)
b) (0,4)
c) (3,-5)
d) (4,0)

Answer 1

You can either plug them in, or solve the system and see which points are in your solution set. Which would you prefer?

Answer 2

(4,0)
is the answer since
0<6=1/2*4+4
and
0>-3=-4+1
are both of the above inequalities are true statements