Answer:
D. y – 5 < 3x – 4
Explanation:
When you replace a point in an inequality, and that point is a solution of it, the inequality must remain true.
Let's replace the (0,0) on each inequality and see where does this happen.
In each inequality, we will replace the x and the y with a 0.
A. y + 5 < 3x – 4
0 + 5 < 3*0 - 4
5 < 0 - 4
5 < -4
That's not true because a negative number can't be greater than a positive one.
B. y + 5 < 3x + 4
0 + 5 < 3*0 + 4
5 < 4
False, 5 is greater than 4.
C. y – 4 < 3x – 5
0 - 4 < 3*0 - 5
-4 < -5
If we multiply by -1 on both sides, we need to change the direction of the inequality
4 > 5
False.
D. y – 5 < 3x – 4
0 - 5 < 3*0 - 4
-5 < -4
5 > 4
True.
Therefore, the point (0,0) is a solution of D.