Question

Which ordered pair is a solution to the inequality ?

3x-4y<16?
1. (-3,-3)
2. (-2,-3)
3. (0,-4)
4. (4,-1)

Answer 1

2. (-2, -3)

1. (-3, -3)

Explanation:

2.

`3(-2) + 4(3) < 16 \\ \\ - 6 + 12 < 16 \\ 6 < 16`

True Statement!

1.

`3(-3) + 4(3) < 16 \\ \\ -9 + 12 < 16 \\ 3 < 16`

True Statement!

Both exercises 4 and 3 give the false statement of 16 < 16. The exception is that if it were written like this:

`16 \leqslant 16`

* If the results had a less than it equal to symbol, then they would be genuine, but in this case, they are not.

I am joyous to assist you anytime.