Solution: The correct options are option (c) and option (d).
Explanation:
The given inequality is [tex]y-3x<-8[/tex].
To check whether the ordered pair is the solution of the inequality or not, Substitute the value of coordinates in the inequality. If it satisfies the inequality, then the ordered pair is the solution of the inequality.
(a)Check the ordered pair (1,-5)
[tex](-5)-3(1)<-8\\-8<-8[/tex]
The above statement is false, therefore the ordered pair (1,-5) is not the answer of given inequality is [tex]y-3x<-8[/tex].
(b)Check the ordered pair (2,-1)
[tex](-1)-3(2)<-8\\-7<-8[/tex]
The above statement is false, therefore the ordered pair (2,-1) is not the answer of given inequality is [tex]y-3x<-8[/tex].
(c)Check the ordered pair (0,-9)<
[tex](-9)-3(0)<-8\\-9<-8[/tex]
The above statement is true, therefore the ordered pairs (0,-9)< are the answers of given inequality is [tex]y-3x<-8[/tex].
(d)Check the ordered pair (5,4)<
[tex](4)-3(5)<-8\\-11<-8[/tex]
The above statement is true, therefore the ordered pairs (5,4)< are the answers of given inequality is [tex]y-3x<-8[/tex].
(e)Check the ordered pair (-3,-2)
[tex](-2)-3(-3)<-8\\7<-8[/tex]
The above statement is false, therefore the ordered pair (-3,-2) is not the answer of given inequality is [tex]y-3x<-8[/tex].
Therefore, the correct options are option (c) and option (d).
