Linear and Quadratic Inequalities Practice Problems

Here you will find a concise collection of linear and quadratic inequalities practice problems. Visit this page directly at hunkim.com/inequalities

1. True or False: 3<5
   
   
2. True or False: 2\geq2
   
   
3. f(x)=3x+2
   1. Sketch y=f(x)
      
   2. Sketch y\geq f(x)
      
   3. Sketch y<f(x)
      
      
4. Sketch y\leq9-x^2
   
   
5. Sketch y>x^2-4
   
   
6. Solve 2x=8
   
   
7. Solve 2x<8
   
   
8. Solve -2x\geq8
   
   
9. Solve -0.25x<3
   
   
10. Solve -\frac{4}{5}<-\frac{3}{7}a
    
    
11. Solve -3x-9>x+4
    
    
12. Solve \frac{2x}{3}+1\geq2(x-1)
    
    
13. f(x)=x^2-5x+6
    1. Sketch y\geq f(x)
       
       
    2. Sketch y<f(x)
       
       
14. f(x)=x^2-5x+6
    1. Solve f(x)\leq0
       1. Using set notation: < or \geq
       2. Using interval notation: ( or [
       3. Using a number line
          
          
    2. Solve f(x)>0
       
       
15. Solve x^2>5x-6
    
    
16. Solve -2x^2-x+6>0
    
    
17. Solve x^2<9
    
    
18. Solve x^2<5
    
    
19. Solve a^2\geq4
    
    
20. Solve (x-2)^2<1
    
    
21. Solve \left(x+\frac{1}{2}\right)^2 \geq25
    
    
22. Solve (x-3)^2-1\leq4
    
    
23. Solve -\frac{4}{3}(2x-6)^2+3<0

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