Intermediate Algebra (11th edition)

SECTION 11.5 Second-Degree Inequalities and Systems of Inequalities 667

Concept Check Match each nonlinear inequality with its graph.

3. 
   
   
   
   4. 
      
      
      
      5. 
         
         
         
         6. A. B. C. D.
         
         
         
         
      
      
      
      
   
   
   
   

yÚx^2 + 4 y...x^2 + 4 y 6 x^2 + 4 y 7 x^2 + 4

Complete solution available
on the Video Resources on DVD

11.5 EXERCISES

1.Concept Check Which one of the following is a description of the graph of the solution

set of the following system?

A.All points outside the circle and above the line

B.All points outside the circle and below the line

C.All points inside the circle and above the line

D.All points inside the circle and below the line

2.Concept Check Fill in each blank with the appropriate response. The graph of the

system

consists of all points the parabola , the

(above/below) (inside/outside)

ellipse , and the line.

(above/below)

y= 5

x^2

9

+

y^2

4

= 1

y=x^2 + 1

y 65

x^2

9

+

y^2

4

71

y 7 x^2 + 1

x^2 +y^2 = 25 y=- 2

x^2 +y^2 = 25 y=- 2

x^2 +y^2 = 25 y=- 2

x^2 +y^2 = 25 y=- 2

y7- 2

x^2 +y^2625

x

y

0

4

2

x

y

0

4

2

x

y

0

4

2

x

y

0

4

2

Graph each nonlinear inequality. See Examples 1–3.

7. 
   
   
   
   8. 
      
   
   
   
   


8. 
   
   
   
   10. 
       
   
   
   
   


9. 
   
   
   
   12. 
       
   
   
   
   


10. 
    
    
    
    14. 
        
    
    
    
    


11. 
    
    
    
    16. 
        
    
    
    
    


12. 
    
    
    
    18. 
        
    
    
    
    

19.x...-y^2 + 6 y- 7 20.y^2 - 16 x^2 ... 16

x^2 - 4 Ú- 4 y^2 xÚy^2 - 8 y+ 14

9 x^2716 y^2 + 144 4 y^2 ... 36 - 9 x^2

y...x^2 + 4 x+ 2 9 x^2616 y^2 - 144

2 y^2 Ú 8 - x^2 x^2 ... 16 + 4 y^2

yÚx^2 - 2 x^2 ... 16 - y^2

y^274 +x^2 y^2 ... 4 - 2 x^2