Systems of Linear Inequalities

Which graph shows the solution of the given set of inequalities?
 $y<-x+2$  
 $y\ge3x-2$  

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Gretchen has $50 that she can spend at the fair. Ride tickets cost $1.25 each and game tickets cost $2 each. She wants to go on a minimum of 10 rides and play at least 12 games.

Which system of inequalities represents this situation when r is the number of ride tickets purchased and g is the number of game tickets purchased?

• $1.25r\ +\ 2g<50$ $r\le10$ $g>12$
  
  

• $1.25r+2g\le50$ $r\ge10$ $g\ge12$
  
  

• $1.25r\ +\ 2g\ \le50$ $r\ge10$ $g>12$
  
  

• $1.25r+2g<50$ $r\le10$ $g\ge12$

State the system of inequalities represented by the graph.

• $y>2x-2$

  $y\le-3x+3$
  

• $y\ge2x-2$
  $y>-3x+3$
  

• $y<2x-2$
  $y\ge-3x+3$
  

• $y\le2x-2$
  $y<-3x+3$
  

Which point is a solution to both inequalities?

• (2,2)

• (2,0)

• (0,2)

• (1,0)

Which of the following is true of the graph of   
 $y\ge-x+1$  

• The line is solid, and the shading is above the line 
  

• The line is dashed, and the shading is above the line
  

• The line is solid, and the shading is below the line

• The line is dashed, and the shading is below the line

The graph of which of the following is shaded above the line?

• $x+y<9$

• $y-x<9$

• $x+y<-9$

• $x-y<9$

Is the given ordered pair a solution of the system of inequalities?

(4,10)

 $9x-y\ge23$  

 $5x+0.2y\ge20$  

• Yes

• No

Which point is a solution of the following system?

 $y>x$                        $y<3x-4$  

#1  (1,2)     #2  (3,4)     #3  (3,9)

• #1 only

• #1 and #2

• #1 and #3

• #2 only