Answer: Option c: (-2, -7)
Step-by-step explanation:
We have the inequality:
y ≥ 2*x - 5
We want to find which ordered pair satisfies the inequality.
To do it, we can just replace the values of each point in the inequality an see if it is true.
Let's check all the options.
a) We have the ordered pair (2, -5)
then: x = 2, y = -5
replacing these in the inequalitiy we get:
-5 ≥ 2*2- 5
-5 ≥ -1
This is false.
b) We have the ordered pair (5, 2)
then: x = 5, y = 2.
Replacing these in the inequalitiy we get:
2 ≥ 2*5 - 5
2 ≥ 10 - 5 = 5
2 ≥ 5
This is false.
c) We have the ordered pair (-2, -7)
Then: x = -2, y = -7
Replacing these in the inequality we get:
-7 ≥ 2*-2 - 5
-7 ≥ -4 - 5
-7 ≥ -9
This is true, then the ordered pair (-2, -7) is a solution.
d) We have the ordered pair (5, -7)
Then: x = 5, y = -7
Replacing these in the inequality we get:
-7 ≥ 2*5 - 5
-7 ≥ 5
This is false.
Then the only correct option is c.
