Which ordered pair is a solution of the inequality?

Question

y≥ 4x-5
A. (3,4)
B. (2,1)
C. (3,0)
D. (1,1)

Answer 1

To determine which ordered pair is a solution of the inequality, we need to substitute the values of x and y into the inequality and check if the inequality statement holds true.

Let's evaluate each option:
A. (3,4)
Substituting x = 3 and y = 4 into the inequality:
4 ≥ (4 * 3) - 5
4 ≥ 12 - 5
4 ≥ 7
This is not true, so (3,4) is not a solution.

B. (2,1)
Substituting x = 2 and y = 1 into the inequality:
1 ≥ (4 * 2) - 5
1 ≥ 8 - 5
1 ≥ 3
This is not true, so (2,1) is not a solution.

C. (3,0)
Substituting x = 3 and y = 0 into the inequality:
0 ≥ (4 * 3) - 5
0 ≥ 12 - 5
0 ≥ 7
This is not true, so (3,0) is not a solution.

D. (1,1)
Substituting x = 1 and y = 1 into the inequality:
1 ≥ (4 * 1) - 5
1 ≥ 4 - 5
1 ≥ -1
This is true, so (1,1) is a solution.

Therefore, the answer is D. (1,1).