Answer:
Option B,C and E are solution to given inequality ![y - 3x < -8](https://tex.z-dn.net/?f=y%20-%203x%20%3C%20-8)
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality ![y - 3x < -8](https://tex.z-dn.net/?f=y%20-%203x%20%3C%20-8)
Ordered pairs are solutions to inequality if they satisfy the inequality
Checking each options by pitting values of x and y in given inequality
A ) (1, -5)
![-5-3(1)](https://tex.z-dn.net/?f=-5-3%281%29%3C-8%5C%5C-5-3%3C-8%5C%5C-8%20%3C%20-8%20%5C%20%28incorrect%29)
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)
![-2-3(-3) < -8\\-2-9](https://tex.z-dn.net/?f=-2-3%28-3%29%20%3C%20-8%5C%5C-2-9%3C-8%5C%5C-11%20%3C%20-8%20%28true%29)
So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)
![-9-3(0)](https://tex.z-dn.net/?f=-9-3%280%29%3C-8%5C%5C-9-0%3C-8%5C%5C-9%3C-8%20%5C%20%28true%29)
So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)
![-1-3(2)](https://tex.z-dn.net/?f=-1-3%282%29%3C-8%5C%5C-1-6%3C-8%5C%5C-7%3C-8%20%5C%20%28false%29)
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)
![4-3(5)](https://tex.z-dn.net/?f=4-3%285%29%3C-8%5C%5C4-15%3C-8%5C%5C-11%3C-8%20%5C%20%28true%29)
So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality ![y - 3x < -8](https://tex.z-dn.net/?f=y%20-%203x%20%3C%20-8)