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Inequalities and Their Graphs
ALGEBRA 1 LESSON 3-1
pages 136–139 Exercises
12. a. yes b. no c. no
23.
1. yes
13. a. no b. yes c. no
24.
2. no
14. a. no
25.
3. yes
15. C
4. yes
16. B
5. no
17. D
6. yes
18. A
27. x > –3
7. no
19.
8. yes
20.
28. x <
–7
29. x >
–1
9. a. no b. no
c. yes
10. a. yes b. no c. yes
11. a. no b. no
b. no c. yes
26.
27–37. Choice of variable
may vary.
30. x < –6
21.
31. x >
– 4.5
32. x < –0.5
22.
c. no
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Inequalities and Their Graphs
ALGEBRA 1 LESSON 3-1
33. Let s = number of students. s <
– 48
44. 35 is greater than or equal to w,
or w is less than or equal to 35.
34. Let a = age. a >
– 16
35. Let w = number of watts. w <
– 60
45. g minus 2 is less than 7.
46. a is less than or equal to 3.
36. Let s = number of students. s >
– 350
37. Let a = number of appearances. a > 75
47. 6 plus r is greater than –2.
48. 8 is less than or equal to h,
or h is greater than or equal to 8.
38. n is less than 5.
39. b is greater than 0.
49. 1.2 is greater than k, or
k is less than 1.2.
40. 7 is greater than or equal to x, or
x is less than or equal to 7.
50. Use an open dot for < or >.
Use a closed dot for <
– or >
–.
41. z is greater than or equal to –5.6.
42. q is less than 4, or 4 is greater than q.
43. –1 is greater than or equal to m, or
m is less than or equal to –1.
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51. Answers may vary. Sample:
For x = –1,
3(–1) + 1 = –3 + 1 = –2. –2 >/ 0.
Inequalities and Their Graphs
ALGEBRA 1 LESSON 3-1
52. Put an open dot at 3
and color the rest
of the number line.
53. Answers may vary.
Sample: Every
class has at least
18 students.
54. x > 2
55. b <
– –5
56. r >
–0
57. a < 5
58.
59.
60.
61.
62.
63.
64. “At least” is translated as >
–.
“At most” is translated as <
–.
65. x >
– 2451
66. Option A < Option B
67. “4 greater than x” means x + 4;
“4 > x” means 4 is greater than x.
68. C; the inequality is true for x = 3
but not true for x = 5, so C is correct.
69. Answers may vary. Sample: a = –1, b = 1
2
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Inequalities and Their Graphs
ALGEBRA 1 LESSON 3-1
70. a is negative, and a and
b are opposites.
80. y = – 2 x + 2
71. 5a + 4s >
– 4000
82. y = 4 x – 3
72.
83. y = – 1 x – 5
3
81. y = 5x + 4
5
2
73.
84. 6.27
74. C
85. 5
75.
76.
77.
78.
86. 9
H
B
H
B
87. I = V
88.
R
= P – 2w
2
89. b = P – a – c
79. [2]
or
= P –w
2
90. Associative Property of Multiplication
Since 6 3 is half, m > 6 3 .
10
10
91. Commutative Property of Multiplication
[1] incorrect inequality OR no diagram 92. Commutative Property of Addition
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