Question

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

y > -x
y ≤ x+1

A) (1, 3)
B) (0, 5)
C) (4, -1)
D) (-4, 0)

Answer 1

The solution to the system of inequalities is A) (1, 3).

Step-by-step explanation:

To find the solution to the system of inequalities, we need to find the ordered pairs that satisfy both inequalities. Let's analyze each option: A) (1, 3): y = 3, which is greater than -x(1) = -1, and 3 is also less than or equal to 1 + 1. So, this is a solution to the system. B) (0, 5): y = 5, which is greater than -x(0) = 0, but 5 is not less than or equal to 0 + 1. So, this is not a solution to the system. C) (4, -1): y = -1, which is not greater than -x(4) = -4, and -1 is not less than or equal to 4 + 1. So, this is not a solution to the system.D) (-4, 0): y = 0, which is not greater than -x(-4) = -4, and 0 is less than or equal to -4 + 1. So, this is not a solution to the system. Therefore, the only ordered pair that is a solution to the system of inequalities is A) (1, 3).