Answer:
0, -2
Explanation:
The system of inequalities given is:
x ≥ -3
y ≤ -x + 2
y > -4
To find which point represents a solution to this system, we need to check each option and see if it satisfies all three inequalities.
Let's start by checking the first option, (-3, 7):
For x ≥ -3: Since x = -3 in this case, it satisfies the first inequality.
For y ≤ -x + 2: Substituting x = -3 and y = 7, we get 7 ≤ -(-3) + 2, which simplifies to 7 ≤ 5. This inequality is not true, so (-3, 7) is not a solution.
Now let's check the second option, (0, -2):
For x ≥ -3: Since x = 0 in this case, it satisfies the first inequality.
For y ≤ -x + 2: Substituting x = 0 and y = -2, we get -2 ≤ -(0) + 2, which simplifies to -2 ≤ 2. This inequality is true, so (0, -2) satisfies the second inequality.
For y > -4: Substituting y = -2, we get -2 > -4. This inequality is also true, so (0, -2) satisfies all three inequalities.
Therefore, the point (0, -2) represents a solution to the given system of inequalities.