Sets and Venn Diagrams - Grade 10

Front

What is a set?

Back

A set is a collection of distinct objects, considered as an object in its own right. For example, A = {1, 2, 3} is a set.

Front

What does A ∪ B represent?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in A, in B, or in both.

Front

What does A ∩ B represent?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both A and B.

Front

What is the difference between natural numbers and whole numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3,...), while whole numbers include all natural numbers and zero (0, 1, 2, 3,...).

Front

What is an element of a set?

Back

An element of a set is an individual object contained within that set. For example, in the set A = {1, 2, 3}, the number 2 is an element.

Front

How do you denote that an element belongs to a set?

Back

You denote that an element x belongs to a set A by writing x ∈ A.

Front

What is the complement of a set?

Back

The complement of a set A, denoted as A', includes all elements not in A, relative to a universal set.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, using circles to show how sets overlap.

Front

What is the universal set?

Back

The universal set is the set that contains all possible elements relevant to a particular discussion or problem.

Front

What is a null set?

Back

A null set, or empty set, is a set that contains no elements, denoted by {} or ∅.