Question

y<4x-7 y>x-4 (the arrow facing > has a line under it)
A(4, 0)
B(6, -2)
C(8, 6)
D(0, -4)

Answer 1

lets sub and find our answer...keeping in mind, what we sub in has to satisfy both inequalities or it won't be a solution.

y < 4x - 7 and y >= x - 4

(4,0)...x = 4 and y = 0
now we sub
0 < 4(4) - 7
0 < 16 - 7
0 < 9 (correct)

now check the other inequality
y >= x - 4
0 >= 4 - 4
0 >= 0 (correct)

wow...that just happened to be the first one.
(4,0) is your solution to these inequalities