Linear Equations And Inequalities In One Variable Worksheet With Answer Key Page 7
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8126
(2-62)
Chapter 2 Linear Equations and Inequalities in One Variable
Solve and graph each compound inequality. See Examples
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2
2
3
6
58.
z
z
4 and 5.
2
5
3
4
5
41. 5
x
3
7
8
x
10
z
1
1
1
1
7
59.
x
42. 2
x
5
6
7
x
11
3
4
6
1
2
2
x
3
9
43. 3
2v
1
10
1
v
3
1
2
1
2
60.
w
5
5
1
5
3
4
w
6
44.
3
3v
4
7
Solve each of the following problems by using an inequality. See
7
Example 6.
v
1
3
61. Boat storage. The length of a rectangular boat storage
45.
4
5
k
7
2
k
9
shed must be 4 meters more than the width, and the perime-
ter must be at least 120 meters. What is the range of values
for the width?
At least 28 meters
62. Fencing a garden. Elka is planning a rectangular garden
46. 2
3
k
8
5
k
1
that is to be twice as long as it is wide. If she can afford to
buy at most 180 feet of fencing, then what are the possible
47.
2
7
3y
22
values for the width?
At most 30 feet
5
y
3
48.
1
1
2y
3
1
y
1
2
u
49. 5
3
17
3
12
u
30
3
u
50.
4
1
11
4
4
u
16
3m
1
51.
7
8
2
5
m
5
3
2m
52. 0
9
2
1
5
3
x
F I G U R E F O R E X E R C I S E 6 2
2
2
53. 0.02
0.54
0.0048x
0.05
63. Car shopping. Harold Ivan is shopping for a new car. In
102.1
x
108.3
addition to the price of the car, there is a 5% sales tax and a
34.55
22.3x
$144 title and license fee. If Harold Ivan decides that he
54. 0.44
0.76
12 4.5
will spend less than $9970 total, then what is the price
range for the car?
Less than $9358
2.69
x
0.91
64. Car selling. Ronald wants to sell his car through a broker
Solve and graph each inequality.
who charges a commission of 10% of the selling price.
1
1
Ronald still owes $11,025 on the car. Ronald must get
55.
x
1
4
x
x
6
2
3
enough to at least pay off the loan. What is the range of the
selling price?
At least $12,250
y
5
y
1
56.
y
8
65. Microwave oven. Sherie is going to buy a microwave in a
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2
3
4
city with an 8% sales tax. She has at most $594 to spend. In
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1
what price range should she look?
At most $550
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x
6x
2
4
4
2
66. Dining out. At Burger Brothers the price of a hamburger is
x
0
twice the price of an order of French fries, and the price of
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