Chapter 2 Terms

Question 1

Sets

Answer 1

• Any group or collection of objects

Question 2

In what two ways is a set designated?

Answer 2

• Words/description (Natural numbers, planets starting with M, etc.)
• Roster/list ({1,2,3,4,…}, {Mercury, Mars}

Question 3

Natural Numbers, N

Answer 3

• N = {1,2,3,4,5,…}

Question 4

Whole Numbers, W

Answer 4

• W = {0,1,2,3,4,5,…}

Question 5

Integers, I (Sometimes Z)

Answer 5

• I/Z = {…,-3,-2,-1,0,1,…}

Question 6

Rational Numbers, Q

Answer 6

• Q = any number written as a fraction

Question 7

Irrational Numbers, (Weird Fancy I)

Answer 7

• (Weird Fancy I) = non-repeating decimals

Question 8

E

Answer 8

• Is an element of

Question 9

E with a Line through It

Answer 9

• Is not an element of

Question 10

O with a Line through It

Answer 10

• Null set, empty set, { }

Question 11

|

Answer 11

• Such that

Question 12

Finite

Answer 12

• The number of elements that can be counted, n(A)

Question 13

n(A)

Answer 13

• The number of elements in set A

Question 14

Cardinal Number

Answer 14

• The number of elements in a set

Question 15

Well-Defined

Answer 15

• It is possible to determine if element is a member of a set (or not)

Question 16

Equal, A=B

Answer 16

• Exactly the same elements

Question 17

Equivalent, A(wavy line)B

Answer 17

• Exactly the same NUMBER OF elements

- i.e. same cardinality

Question 18

Universal Set, U

Answer 18

• All possible members of a set

Question 19

Complement, A’ (A Prime)

Answer 19

• All the members of U not in A

- Mutually exclusive

Question 20

Subset, A(C over line)B

Answer 20

• Every element of A is also an element of B

Question 21

Proper Subset, ACB

Answer 21

• Every element of A is also an element of B but A does not equal B

Question 22

Intersection, N

Answer 22

• The set of elements common to both sets

Question 23

Union, U

Answer 23

• The set of elements in both sets

Question 24

When filling out a venn diagram, where do you start and go to?

Answer 24

• Start in the middle

- Work your way out

Question 25

What do you do if you’re filling out a venn diagram and the number of answers exceeds the number of the survey?

Answer 25

• That means that some numbers would go outside of the venn diagram and into the open space.

Question 26

What does “or” indicate?

Answer 26

• Increase

Question 27

For all finite sets A and B, what is the inclusion and exclusion formula?

Answer 27

• n(AuB) = n(A) + n(B) - n(AnB)