Answer:
The point (-3,2) is not a solution of the inequality
Step-by-step explanation:
Inequality
Inequalities relate the left and the right side of an expression with an operator other than the equal sign.
The inequality given in the question is
[tex]-4r - 10y< - 9[/tex]
There are many combinations of r and y that make inequality be true. For example, for r=1 and y=1
[tex]-4(1) - 10(1)< - 9[/tex]
[tex]-14< - 9[/tex]
This relation is true since -14 is less than -9.
Also, there are many combinations that make the given inequality be false.
For example, for r=2 and y=-1
[tex]-4(2) - 10(-1)< - 9[/tex]
[tex]-8+10<-9[/tex]
[tex]2<-9[/tex]
This inequality is false.
Let's test the point (-3,2)
[tex]-4(-3) - 10(2)< - 9[/tex]
[tex]12-10<-9[/tex]
[tex]2<-9[/tex]
Which is false, thus the point (-3,2) is not a solution of the inequality
