Sets and their language

Sets and their mathematical language

​

Definition

Sets: a collection of well defined and distinct objects. These objects that form a part the set are called elements.

Example: the set of even whole numbers from 3 to 8.

Multiple Select

If set B only contains odd numbers from 10 to 19, then which elements do not belong to the set B?

• 9

• 11

• 10

• 15

• 20

Types of Sets

• Finite

• Infinite

• Empty or Null

• Equivalent

• Equal

• Subsets

• Universal

Multiple Choice

which one of these is not a type of set?

• Null set

• Universal set

• Subset

• Square set

A finite set

A set which contains a definite number of elements is called a finite set.

Multiple Choice

which is a finite set?

• The set of even numbers

• The set of whole numbers

• The set of prime numbers

• Factors of 100

An infinite set

A set which contains infinite number of elements is called an infinite set.

To show that a set is infinite when listing elements this symbol is normally used either at the beginning or the end: ...

E.g. Set of Integers {..., -2, -1, 0, 1, 2, ...}

To show that a set is infinite when listing elements this symbol is normally used either at the beginning or the end: ...

Multiple Choice

which is an infinite set?

• Multiples of 5

• Factors of 15

• Even numbers from 2 to 12

• Square numbers from I to 16

An empty or null set

A set with no elements.

The symbols used for empty set is: {}

The symbol used for null set is: Ø

However they both mean the same thing.

Equivalent sets

These are sets with the same number of elements.

The symbol for equivalence is: ≡

Multiple Select

Select the sets that are equivalent:

• {1,3,5,9,11}

• {a, e, i, o, u}

• {1, 3, 5, 11}

• {a,b,c,d,e,f,g}

Equal sets

Sets with the same or exact elements. (In number and name.)

The symbol used to show that sets are equal is: =

Multiple Choice

Which set is equal to {1, 5, 10, 15}?

• {1,2,3,4}

• {1, 5, 15}

• {5, 10, 1, 15}

• {a,b,c,d}

Universal set

The largest set from which all elements are taken.

The set containing all objects or elements and of which all other sets are subsets.

Multiple Choice

The set of numbers {1,9,25} are taken from which universal set?

• The set of even Whole Numbers

• The set of prime numbers

• The set of square numbers

• The set of multiples of 5

Ways of writing Sets

• Sentence or a statement

• List form or Roster form

• Set builder form

Sentence or a statement

Sentence or a statement

​

List form or Roster form

Multiple Choice

What is the correct form to Iist the set of numbers from 2 to 8 exclusive?

• {3,4,5,6,7}

• 3, 4, 5, 6, and 7.

• 3 4 5 6 7

• {3 4 5 6 7 }

Set builder form

Multiple Choice

Select the set that states {x / x ∈ whole numbers, x<4}

• {I,2,3,4}

• {0, 1, 2, 3, 4 }

• {0, 1, 2, 3 }

• {I,2,4}

Diagrams showing how two sets relate

• Disjoint

• Intersecting

• Subset