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 find which ordered pair is a solution of the inequality y ≥ 4x - 5, we need to plug in the x- and y-values from each ordered pair into the inequality and see if it holds true.

Let's check each ordered pair one by one:

a) (3,4)
Plug in 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)
Plug in 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)
Plug in 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)
Plug in 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 correct answer is d) (1,1), because it is the only ordered pair that satisfies the inequality y ≥ 4x - 5.