42 CHAPTER 1 Review of the Real Number System
Let. Simplify the elements of S as
necessary, and then list those elements of S which belong to the specified set.
6.Whole numbers 7.Integers
8.Rational numbers 9.Real numbers
Write each set by listing its elements.
10.
11.
Writetrueorfalsefor each inequality.
The graph shows the percent change in
passenger car production at U.S. plants from
2006 to 2007 for various automakers. Use this
graph to work Exercises 15–18.
15.Which automaker had the greatest change
in sales? What was that change?
16.Which automaker had the least change in
sales? What was that change?
17.Trueor false:The absolute value of the
percent change for Chrysler was greater
than the absolute value of the percent
change for Hyundai.
18.True or false: The percent change for
Subaru was more than twice the percent
change for Chrysler.
Write each set in interval notation and graph the interval.
1.2 Add or subtract as indicated.
21. 22.
23. 24.
25. 26.
27. 28.
29.Telescope Peak, altitude 11,049 ft, is next to Death Valley, 282 ft below sea level. Find the
difference between these altitudes. (Source: World Almanac and Book of Facts.)
- |- 12 |-|- 9 |+ 1 - 42 - | 10 |
3
4
- a
1
2
-
9
10
b
- 15 + 1 - 132 + 1 - 112 - 1 - 3 - 1 - 102 + 1 - 62
- 5 + 1 - 112 + 20 - 7 - 9.42+1.83-7.6-1.8
-
4
5
- a-
3
10
- b
5
8
- a-
7
3
b
5 x|x6- 56 5 x|- 26 x... 36
4 # 2 ...| 12 - 4 | 2 +|- 2 | 74 413 + 72 7-| 40 |
5 y|y is a whole number less than 4 6
5 x|x is a natural number between 3 and 9 6
S= E-9, -^43 , - 4 , -0.25, 0, 0.35,^53 , 7 , - 9 ,^123 F
Car Production, 2007
Automakers
Percent Change from 2006
Source: World Almanac and Book of Facts.
- 50 25 50
2.14%
- 25 0
21.3%
- 2.8%
- 44.1%
- 23.8%
- 18.8%
Chrysler
Ford
GM
Honda
Hyundai
Subaru
Toyota
45.9%
REVIEW EXERCISES
CHAPTER 1
1.1 Graph the elements of each set on a number line.
1. 2.
Find the value of each expression.
3.|- 16 | 4.-|- 8 | 5.|- 8 |-|- 3 |
e-5, -
11
4
, -0.5, 0, 3,
13
3
e-4, -1, 2, f
9
4
, 4f