Answer:
B
Step-by-step explanation:
To find which ordered pairs are solutions to the inequalities we can simply plug in the x and y values of the ordered pairs into the inequalities and if the equation is true for both inequalities then the ordered pair is a solution to the inequalities.
For (0,0)
x = 0
y = 0
y > x + 5
Substitute 0 for y and x
0 > 0 + 5
Simplify right side
0 > 5
The inequality is not true as 5 is greater than 0, not less than. So immediately we can eliminate answer choice A.
For (5,1).
x = 5
y = 1
y > x + 5
Substitute 5 for x and 1 for y
1 > 5 + 5
Simplify right side
1 > 10
Again, the equation is not true as 1 is not greater than 10. This means that c cannot be the answer
For (3,7)
x = 3
y = 7
y > x + 5
Substitute 3 for x and y for 7
7 > 3 + 5
Simplify right side
7 > 8
7 is not greater than 8 meaning that (3,7) cannot be a solution to the inequalities
None of the ordered pairs created true equations hence the answer is B
