Answer:
Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
Step-by-step explanation:
We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]
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)
[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
B) (-3, - 2)
[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
C) (0, -9)
[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
D) (2, -1)
[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]
So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.
E) (5, 4)
[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]
So, this ordered pair is solution of inequality as it satisfies the inequality.
So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]
