Question

Which ordered pair is a solution of the inequality

y>=4x-5

Responses:
(3,4)
(2,1)
(3,0)
(1,1)

Answer 1

To determine which ordered pair is a solution of the inequality y >= 4x - 5, we need to substitute the x and y values of each ordered pair into the inequality and check if the inequality holds true.

For the given ordered pairs:

1. (3,4):
Substituting x = 3 and y = 4 into the inequality: 4 >= 4(3) - 5 -> 4 >= 12 - 5 -> 4 >= 7
Since 4 is not greater than or equal to 7, (3, 4) is not a solution.

2. (2,1):
Substituting x = 2 and y = 1 into the inequality: 1 >= 4(2) - 5 -> 1 >= 8 - 5 -> 1 >= 3
Since 1 is not greater than or equal to 3, (2, 1) is not a solution.

3. (3,0):
Substituting x = 3 and y = 0 into the inequality: 0 >= 4(3) - 5 -> 0 >= 12 - 5 -> 0 >= 7
Since 0 is not greater than or equal to 7, (3, 0) is not a solution.

4. (1,1):
Substituting x = 1 and y = 1 into the inequality: 1 >= 4(1) - 5 -> 1 >= 4 - 5 -> 1 >= -1
Since 1 is greater than or equal to -1, (1, 1) is a solution.

Therefore, the ordered pair (1,1) is a solution of the inequality y >= 4x - 5.