3y-6 is <12x

Question

-3,8
4,18
4,-2
0,7

Answer 1

Let's evaluate each pair of coordinates using the given inequality:

1. (-3,8)
3(-3) - 6 < 12(-3)
-9 - 6 < -36
-15 < -36
This pair does not satisfy the inequality.

2. (4,18)
3(4) - 6 < 12(4)
12 - 6 < 48
6 < 48
This pair satisfies the inequality.

3. (4,-2)
3(4) - 6 < 12(4)
12 - 6 < 48
6 < 48
This pair satisfies the inequality.

4. (0,7)
3(0) - 6 < 12(0)
0 - 6 < 0
-6 < 0
This pair satisfies the inequality.

So, the pairs (4,18), (4,-2), and (0,7) satisfy the given inequality.