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Name
Date
Class
Practice B
LESSON
1-1
Sets of Numbers
Order the given numbers from least to greatest. Then classify each
number by the subsets of the real numbers to which it belongs.
_
2 , 6.17, 1, 4.9
1. __
28 , 3__
3
8
_
_
1, __
1, __
2 , 2 , and 6.17 are rational numbers,
4.9, 3__
28 , 6.17; 4.9, 3__
8 3
8 3
and 28 is an irrational number.
_
8
2. 5, 6 3 , ___
, 4.615, 0
3
8
6 3 , ___
,
3
_
_
8,
0, 4.615, 5; 0 is a whole number and an integer; 0, ___
3
and 4.615 are rational numbers; 5 and 6 3 are irrational numbers.
Rewrite each set in the indicated notation.
3. negative multiples of 3; set-builder notation
4. [4, 0) or (10, 21); words
All real numbers between
4 and 0 and between 10 and 21
including 4 but excluding
0, 10, and 21
{ x |x 3n and n is a natural number }
5.
6.
roster notation
set-builder notation
{ 3, 1, 5 }
{ x |x 1 or 2 x 5 }
The length of a necktie is generally in the range 52, 58 inches. The
width of a tie is in the range 2.75, 3.5 inches. Use this information
for Exercises 7–8.
7. Represent the range of the length of neckties in
roster notation. Assume that all neckties come
in whole-inch lengths.
8. Represent the range of the width of neckties
in set-builder notation.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c01-1_pr.indd 4
4
{ 52, 53, 54, 55, 56, 57, 58 }
{ x | 2.75 x 3.5 }
Holt Algebra 2
12/20/05 1:24:16 PM
Process Black
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