NUMA - Lesson 1 (Set Theory)

Is said to contain its elements.

Collection or group of objects or elements or members.

• Set

• Cardinality

• Universal Set

• Subset

In sets, there must be an underlying ___________, either specifically stated or understood.

• universal set U

• subset S

• set complement C

Listing an object more than once does not change the set.

Ordering means everything.

• True

• False

Which of these are common universal sets?

• Reals (R)

• Natural numbers (N)

• Whole numbers (W)

• All integers (Z)

• Set of positive integers (Z+)

It is equal to the number of unique elements in a set.

• Cardinality

• Set Membership

• Set Complement

• Subset

What is the Cardinality of the following:

S = {3, {3, 4}, {4, {5, 6}}}

• 2

• 3

• 4

• 5

If the cardinality is a natural number, then the set is called finite, else infinite (e.g. real numbers, whole numbers).

• True

• False

 A set with no elements. (Also called null or void set)

• Empty Set

• Singleton

• No Set

• One Set

A set with only one element. Cardinality is equal to 1.

• Empty Set

• Singleton

• No Set

• One Set

S = {}

S1 = ∅

• Empty Set

• Singleton