Question

Please help me with this question

Which ordered pair is a solution to the system of inequalities?


{y>−2 x+y≤4

Responses

A. (−2, −3)
B. (1, 5)
C. (1, 3)
D. (0, −4)

Answer 1

To determine which ordered pair is a solution to the system of inequalities, we can substitute the values of x and y into the given inequalities and check if the inequalities hold true.

Let's go through each option:

Option A: (−2, −3)

Substituting x = -2 and y = -3, we have:

y > -2 is true because -3 > -2.

y ≤ 4 is true because -3 ≤ 4.

Option B: (1, 5)

Substituting x = 1 and y = 5, we have:

y > -2 is true because 5 > -2.

y ≤ 4 is true because 5 ≤ 4 is false.

Option C: (1, 3)

Substituting x = 1 and y = 3, we have:

y > -2 is true because 3 > -2.

y ≤ 4 is true because 3 ≤ 4.

Option D: (0, −4)

Substituting x = 0 and y = -4, we have:

y > -2 is false because -4 > -2 is false.

y ≤ 4 is true because -4 ≤ 4.

Based on the substitutions, the ordered pair that satisfies both inequalities is option C: (1, 3).