Choose the point which is a solution to the system of inequalities:

Question

y <(line underneath)-x + 7
y < 3x + 11

Choose one answer.

A. (5, 5)
 

B. (-5, 5)
 

C. (-5, -5)
 

D. none of the above

Answer 1

The way to solve is plug in the coordinates for each multiple choice and see if it's true.

 

y<-x+7

y<3x+11

 

Try (a) 5,5, remember the first term is x and the secondy is y.

 

5<-(5)+7.  5<2. This is false, so you can go to the next one.

 

Try (b) -5,5

 

5<-(-5)+7=12,  5<12 is true for the first y<-x+7

So try Y<3x+11 with -5,5

 

5<3(-5)+11=-15+11=-4,  so 5<-4 is false so go to next set

 

Try -5,-5

 

y<-5+7=2,  -5<2 is true, now try 3x+11

 

y<3(-5)+11, -5<-4, this is true also.

 

So (c) is the only choice that is true for both inequalities.