Intermediate Algebra (11th edition)

63.We cannot expect the final mixture to be worth more than the more

expensive of the two ingredients. 65. (a) (b)

66. (a)0.05x; (b)0.05y;


67. (a)
    (b) 68. (a)$200 at 5%;

$600 at 10% (b)200 L of 5% acid; 600 L of 10% acid
(c)The processes are the same. The amounts of money in Problem A

correspond to the amounts of solution in Problem B. 69. 200 71. 19

Section 2.4 (pages 84–89)

1.$5.40 3.30 mph 5.The problem asks for the distanceto the
workplace. To find this distance, we must multiply the rate, 10 mph, by

the time, hr. 7.No, the answers must be whole numbers because they
represent the number of coins. 9.17 pennies; 17 dimes; 10 quarters

11.23 loonies; 14 toonies 13.28 $10 coins; 13 $20 coins
15.872 adult tickets 17.7.97 m per sec 19.8.47 m per sec

21. hr 23.7:50 P.M. 25.45 mph 27. hr 29.60°, 60°, 60°
    31.40°, 45°, 95° 33.40°, 80° 34.120° 35.The sum is equal to

the measure of the angle found in Exercise 34. 36.The sum of the
measures of angles 1 and 2 is equal to the measure of angle 3.

37.Both measure 122°. 39.64°, 26° 41.19, 20, 21
43.61 yr old 45.28, 30, 32 47.21, 23, 25

49. 
    
    
    
    51. 
        
    
    
    
    

Summary Exercises on Solving Applied Problems

(pages 89–90)

1.length: 8 in.; width: 5 in. 2.length: 60 m; width: 30 m
3.$86.98 4.$425 5.$800 at 4%; $1600 at 5% 6.$12,000 at 3%;

$14,000 at 4% 7.James: 2250; Wade: 2386 8.Titanic:
$600.8 million; The Dark Knight:$533.3 million 9.5 hr

10.Merga: 12.27 mph; Kosgei: 10.37 mph 11. L 12. kg
13.fives: 84; tens: 42 14.1650 tickets at $9; 810 tickets at $7

15.20°, 30°, 130° 16.107°, 73° 17.31, 32, 33 18.9, 11
19.6 in., 12 in., 16 in. 20.23 in.

Section 2.5 (pages 99–102)

1.D 3.B 5.F 7.Since the student should not have

reversed the direction of the inequality symbol when dividing by 4.
We reverse the symbol only when multiplying or dividing by a

negativenumber. The solution set is

9. 
   
   
   
   11. 
       
   
   
   
   


10. 
    


11. 
    


12. 
    

    0 4

    
    

1 - q, 4 4

• 40 – 20 0

1 - q, - 404

–4 0

1 - q, - 42

0 7

1 7, q 2

0 8 16

3 16, q 2

3 - 16, q 2.

47 0,

(^13 1353 13)
0 4 –2 0 6
1
(^2 2)
1
2
3
4
0.05y+0.10 1800 - y 2 = 8001 0.0875 2
0.05x+0.10 1800 - x 2 = 8001 0.0875 2
0.10 1800 - x 2 0.10 1800 - y 2
800 - x 800 - y
19.
21.

23. 
    
    
    
    25. 
        
    
    
    
    


24. 
    
    
    
    29. 
        
    
    
    
    

31.

33.

35.

37.

39. 
    
    
    
    41. 
        
    
    
    
    

42.

43.

44.the set of all real numbers 45.

47. 
    
    
    
    49. 
        
    
    
    
    


48. 
    
    
    
    53. 
        
    
    
    
    


49. 
    
    
    
    57. 
        
    
    
    
    


50. 
    
    
    
    61. 
        
        
        
        63. 65.at least 80
            67.26 months 69.26 DVDs 71. (a)140 to 184 lb
            (b)107 to 141 lb (c)Answers will vary.
        
        
        
        
    
    
    
    


51. (a) (b)

(c)All numbers greater than 4 and less than 5 (that is, those satisfying

) belong to both sets.

Section 2.6 (pages 108–111)

1.true 3.false; The union is. 5.false;

The intersection is. 7. , or B 9. , or D 11.

13. , or A 15.


14. 
    
    
    
    19. 
        
    
    
    
    


15. 
    
    
    
    23. 
        
    
    
    
    


16. 
    
    
    
    27. –3 –1 0
    
    
    
    

1 - 3, - 12

09510

3 5, 9 4

0

0 2

1 - q, 2 4

–3 0 2

1 - 3, 2 2

0 2

–3 0 2

5 1, 2, 3, 4, 5, 6 6

0 5 1, 3, 5 6 546 0

1 - q, 7 2 ́ 1 7, q 2

46 x 65

054 054

1 - 2, 2 2 3 3, q 2 3 - 9, q 2

1

• 3
  1

(^09)
C- 21 ,^352 D A- 31 , 91 D

-^14302

C-^143 , 2D

–5 0 2 6

3 - 5, 6 4

–14 –5 0 10

3 - 14, 10 4

01114

1 1, 11 2

1 - q, - 32

–9 –3 0

–9 –3 0

1 - q, - 92

–9 –3 0

1 - 9, q 2

–9 –3 0

0 5 - 96

01

1 - q, q 2

76

(^0311)
A-q,^7611 B
23
(^016)
A-q,^236 D
0 4
1 - q, 4 2
0 3
1 3, q 2
0 2
3 2, q 2
1
(^0122)
C^12 , qB
15

• 2 –4^0

A-q, -^152 B

0 7 14

1 - q, 14 2

–10 –5 0

1 - q, - 104

Answers to Selected Exercises A-3

35

2

1

• 2

05