Week 6 - Sets

Question 1

Set

Answer 1

A collection of unordered values where each value appears at most once.

Question 2

What type of brackets are used to denote a set?

Answer 2

Curly brackets {}

Question 3

Real ℝ

Answer 3

Any number that can represent a distance along a line.

Question 4

Natural (N)

Answer 4

All whole numbers beginning from 0

Question 5

Integer (Z)

Answer 5

All whole numbers (positive and negative)

Question 6

Rational ℚ

Answer 6

All numbers that can be written as a fraction of two whole numbers

Question 7

Irrational

Answer 7

All numbers that cannot be written as a fraction with a whole numerator and denominator

Question 8

Ordinal

Answer 8

Defines the position of an element in a series (e.g. an index of an array)

Question 9

Empty set

Answer 9

The set that contains no values

Question 10

Finite set

Answer 10

A set where the elements can be counted using natural numbers up to a particular number

Question 11

Infinite set

Answer 11

A set that is not finite (e.g. real, rational, irrational, integer, natural are all infinite)

Question 12

Countably infinite set

Answer 12

Sets where the elements can be put into a one-to-one correspondence with the set of natural numbers

Question 13

Cardinality

Answer 13

The number of elements in a set

Question 14

Subset

Answer 14

When the elements of one set are entirely contained within another, including two identical sets.

Question 15

Proper Subset

Answer 15

When one set is entirely contained within another, and the other set has additional elements

Question 16

Union Operation

Answer 16

Joining together two or more sets to make one set that contains all the elements in the sets

Question 17

Intersection Operation

Answer 17

Intersection = only the elements that appear in both sets

Question 18

Difference Operation (\ or -)

Answer 18

Difference = elements that appear in the left-hand set only

Question 19

Cartesian Product (X)

Answer 19

Combining the elements of two or more sets to create a set of ordered pairs.