Introduction to Sets

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Show your work for each problem.

1.
Which of the following is NOT a valid set?
1. a)
2. b)
3. c)
4. d)
2.
Let . Which statement is TRUE?
1. a)
2. b)
3. c)
4. d)
3.
How many elements are in the set ?
4.
How many elements are in the empty set ?
5.
Which two sets are equal?
1. a) and
2. b) and
3. c) and
4. d) and
6.
If , what is the cardinality ?
7.
What is the correct way to write "5 is not an element of set A"?
1. a)
2. b)
3. c)
4. d)
8.
Write the set of all even numbers between 1 and 10 (exclusive) in roster notation.
9.
List all elements of the set .
10.
Which statement about and is correct?
1. a)They are the same set
2. b) has 1 element, has 0
3. c) has 1 element, has 0
4. d)Both have 0 elements
11.
Given , determine which of 3, 6, and 9 are elements of .
12.
If , how many elements does have?
13.
What is ?
1. a)0
2. b)2
3. c)1
4. d)undefined
14.
Write the set of all prime numbers less than 15 in roster notation.
15.
Let and . Are and equal? Explain.
16.
Which is a correct set-builder notation for the set ?
1. a)
2. b)
3. c)
4. d)
17.
Write the set containing only the number 7 using roster notation. Use curly braces.