1. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
pages 142–145  Exercises
1. 5
2. 8
3. 4.3
4. x > 11  
5. t < 1  
6. b < –4  
7. d 10  
8. s –4  
9. r 9  
10. n > 10  
11. w –2 
12. d > 3  
13. y –4  
14. q < 3  
15. x   
16. r < 4.5  
17. m < –1.6  
18. b <   
19. n > 3  
20. 2
21.
23. w 5;   1 2
< – 1 3
> – 1 2
> –
> –
< – 5 3
< –
< –
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2. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
24. m > –8;  
25. b > –7;  
26. a –6;  
27. r –6;  
28. k 1;  
29. x < –1;  
30. p > –6;  
31. z –1;  
32. y < 5.5;  
33. m > –1 ;  
34. a –0.3;  
35. p > –7;  
36. h – ;  
37. d > –1.5;  
38. t < – ; 
39. s , $1363
40. s , $3.50
41. r , 21 reflectors
42. Add 4 to each side.
43. Subtract 9 from each side.
44. Add to each side.
45. w 11
46. c 3
47. y < 3.1 1 2
48. n < –5
49. z < –9.7
50. y < –3.2
51. t >
52. v 16
53. k –8.1
54. b < 6
55. m –3.5
56. k 4
57. h –
58. x –5.7
59. w < –14 4 5
< – 1 2
< – 1 6
> –
< –
< –
< –
> –
> –
> –
> –
< – 1 2 3 4
< – 1 2 1 2
> –
> –
< –
< –
< –
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3. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
60. w –1
61. x < 16
62. m > 5.5
63. t
64. k < 2
65. n < 6
66. m 5
67. s > 10.3
68. a. yes
b. no
c. Answers may vary. Sample:
The = sign indicates that
each side is equal, so the
two sides may be interchanged. 1 6
< –
The < sign does not indicate equality.
One side cannot be both greater
than and less than the other side.
69. a. Let n = points scored on floor exercises.
n ; n
b. Your sister must score 9.1 points
or more to qualify for regional
gymnastics competition.
c. Answers may vary. Sample: 9.1, 9.2, 9.3
70. nearly 51.2 MB
71. at least $15.50
or more points
73. a-b. Check students’ work.
> –
> –
> – 3 5
< –
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4. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
79. r < –2
80. r –13
81. a –25 m
83. d > –8
84. y < 6
85. a 24
86. a < –8
87. a. a > c – b
b. b > a – c
c. c > b – a
d. The length of the third side
must be greater than the difference
of the lengths of the other two sides.
74. a. No; the solution is
z , so z 14
is not correct.
b. Answers may vary.
Sample: Substituting
values does not work
because there is always
the possibility that the
solution lies between
values that make the
inequality true and a
value that does not.
75. x 1
76. n < 5
77. t –3
78. k > 10
88. not true; sample counter
example: for a = 5 and
b = –6, 5 –(–6) < 5 +(–6)
89. true
90. true
91. not true; sample counter
example: for a = 0, b = 1,
and c = –2, 0 < 1
and 0 < 1 + (–2)
92. Answers may vary.
Sample: For x = 2, y = 1,
z = 4, and w = 3, 2 > 1 and
4 > 3, but 2 – 4 > 1 – 3. /
> –
> –
> –
> –
< –
< –
> –
< –
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5. Solving Inequalities Using Addition and Subtraction
ALGEBRA 1 LESSON 3-2
93. B
94. G
95. A
96. I
97. D
98. [2] at least 33 points;
24(19.5) + x  > 25(20)
      468 + x  > 500
             x  > 32
(OR equivalent explanation)
[1] incorrect answer OR
no work or explanation
99. Let c = length of octopus
in feet. c 10
100. Let h = distance in miles a
hummingbird migrates.
h > 1850
101. Let a = average. a 90
102. Let p = number of pages
to read. p 25
104. –1
105. –12
106. 4
108. –18
109. –28
113. 7
> –
> –
< –
3-2