Answer
Option B is the ordered pair th
Step-by-step explanation
To know which ordered pair satisfies the system of inequality equations, we will need to try out some of them in the inequality equations.
The one(s) that satisfy both equations will now be the answer(s) to this question.
y > 2x² - 8
y ≤ -x² - 3x + 4
Option A
(-3, -2)
x = -3
y = -2
y > 2x² - 8
-2 > 2(-3)² - 8
-2 > 18 - 8
-2 > 10
Since this is not true, then, this option cannot be correct.
Option B
(0, -5)
x = 0
y = 5
y > 2x² - 8
-5 > 2(0)² - 8
-5 > 0 - 8
-5 > -8
This is true.
So, we test the second equation too.
y ≤ -x² - 3x + 4
-5 ≤ -0² - 3(0) + 4
-5 ≤ 0 - 0 + 4
-5 ≤ 4
This is also true. Hence, this is a solution of this system of inequality equations.
Option C
(4, -3)
x = 4
y = -3
y > 2x² - 8
-3 > 2(4)² - 8
-3 > 32 - 8
-3 > 24
This is not true. So, this option is not a solution too.
Option D
(5, 0)
x = 5
y = 0
y > 2x² - 8
0 > 2(5)² - 8
0 > 50 - 8
0 > 42
This is not true. So, this option is not a solution too.
Hope this Helps!!!