Answer:
H. (-8,-9)
Explanation:
Our inequalities:
y ≥ 3x + 8
y < x
To find which ordered pair satisfies both inequalities, we have to plug in values for x and y.
Option E:
y ≥ 3x + 8
y < x
(1) ≥ 3(2) + 8
=1 ≥ 14
(1) < (2)
As we can see, the first inequality is a false statement. So option E is incorrect.
Option F:
y ≥ 3x + 8
y < x
(-1) ≥ 3(2) + 8
=-1 ≥ 14
(-1) < (2)
The first inequality is also a false statement, so this option is also incorrect.
Option G:
y ≥ 3x + 8
y < x
(-1) ≥ 3(8) + 8
-1 ≥ 32
-1 < 8
The first inequality is a false one, so option G is incorrect.
Option H:
y ≥ 3x + 8
y < x
-9 ≥ 3(-8) + 8
-9 ≥ -16
-9 < -8
The first inequality and second inequality are both true. This makes option H the correct one.
Hope this helps! :)