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Solve using tables and
Line graphs
2
3 10x x 
2
3 10 0x x  
  5 2 0x x  
Critical -values:
5, 2
x
x  
x -5 2
(x+5)(x-2) 0 0
2
4 12x x 
2
4 12 0x x  
  6 2 0x x  
Critical -values:
2, 6
x
x  
x -2 6
(x-6)(x+2) 0 0
2
3 7 6x x 
2
3 7 6 0x x  
  3 2 3 0x x  
2
3
Critical -values:
, 3
x
x  
x -2/3 3
(x-6)(x+2) 0 0
2
8 7x x  
2
8 7 0x x  
  7 1 0x x  
Critical -values:
7, 1
x
x   
2
5 12 4x x  
2
5 12 4 0x x  
  5 2 2 0x x  
2
5
Critical -values:
2,
x
x   
2
6 3 0x x  
Critical -values:
5.45, 0.55
x
x   
  2
6 6 4 1 3
2
x
  

6 36 12
2
x
  

6 24
2
x
 

6 2 6
2
x
 
 3 6  
p. 304 # 27 - 43 odd

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4.9.2 quad inequal tables and line graphs

  • 1. Solve using tables and Line graphs
  • 2. 2 3 10x x  2 3 10 0x x     5 2 0x x   Critical -values: 5, 2 x x   x -5 2 (x+5)(x-2) 0 0
  • 3. 2 4 12x x  2 4 12 0x x     6 2 0x x   Critical -values: 2, 6 x x   x -2 6 (x-6)(x+2) 0 0
  • 4. 2 3 7 6x x  2 3 7 6 0x x     3 2 3 0x x   2 3 Critical -values: , 3 x x   x -2/3 3 (x-6)(x+2) 0 0
  • 5. 2 8 7x x   2 8 7 0x x     7 1 0x x   Critical -values: 7, 1 x x   
  • 6. 2 5 12 4x x   2 5 12 4 0x x     5 2 2 0x x   2 5 Critical -values: 2, x x   
  • 7. 2 6 3 0x x   Critical -values: 5.45, 0.55 x x      2 6 6 4 1 3 2 x     6 36 12 2 x     6 24 2 x    6 2 6 2 x    3 6  
  • 8. p. 304 # 27 - 43 odd