Which ordered pair is a solution to the inequality 3x - 4y < 16?

C.

Step-by-step explanation:

You are given 3x-4y<16 and we want to see which of the ordered pairs is a solution.

These ordered pairs are assumed to be in the form (x, y).

A. (0,-4) ?

3x-4y<16 with (x=0, y=-4)

3 (0) - 4 (-4) <16

0+16<16

16<16 is not true so (0,-4) is not a solution of the given inequality.

B. (4,-1) ?

3x-4y<16 with (x=4, y=-1)

3 (4) - 4 (-1) <16

12+4<16

16<16 is not true so (4,-1) is not a solution of the given inequality.

C. (-3,-3) ?

3x-4y<16 with (x=-3, y=-3)

3 (-3) - 4 (-3) <16

-9+12<16

3<16 is true so (-3,-3) is a solution to the given inequality.

D. (2,-3) ?

3x-4y<16 with (x=2, y=-3)

3 (2) - 4 (-3) <16

6+12<16

18<16 is false so (2,-3) is not a solution to the given inequality.