3у - 6 < 12x
(1 point)
O (-3, 8)
• (4, 18)
0 (4, -2)
• (0, 7)
To determine which points satisfy the inequality 3y - 6 < 12x, we need to substitute the x and y values for each point into the inequality and see if it holds true.
Let's start by checking each point:
1. Point O (-3, 8):
3(8) - 6 < 12(-3)
24 - 6 < -36
18 < -36
This is false.
2. Point (4, 18):
3(18) - 6 < 12(4)
54 - 6 < 48
48 < 48
This is false.
3. Point O (4, -2):
3(-2) - 6 < 12(4)
-6 - 6 < 48
-12 < 48
This is true.
4. Point (0, 7):
3(7) - 6 < 12(0)
21 - 6 < 0
15 < 0
This is false.
So, the only point that satisfies the inequality 3y - 6 < 12x is (4, -2).