Question

Which ordered pair is a solution of inequality?

y > 4x - 5
( the ">" is a Solid Line) )

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 x and y values of each ordered pair into the inequality and see if the statement holds true.

Let's check each option:

A.) (3,4)
4 > 4(3) - 5
4 > 12 - 5
4 > 7
This statement is false, so (3,4) is not a solution.

B.) (2,1)
1 > 4(2) - 5
1 > 8 - 5
1 > 3
This statement is false, so (2,1) is not a solution.

C.) (3,0)
0 > 4(3) - 5
0 > 12 - 5
0 > 7
This statement is false, so (3,0) is not a solution.

D.) (1,1)
1 > 4(1) - 5
1 > 4 - 5
1 > -1
This statement is true, so (1,1) is a solution.

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