Elements of a Set
What are the elements of a set or members of a set?
The objects used to form a set are called its element or its members.
Generally, the elements of a set are written inside a pair of curly (idle) braces and are represented by commas. The name of the set is always written in capital letter.
Solved Examples to find the elements or members of a set:
1. A = {v, w, x, y, z}
Here ‘A’ is the name of the set whose elements (members) are v, w, x, y, z.
2. If a set A =
{3, 6, 9, 10, 13, 18}. State whether the following statements are ‘true’ or ‘false’:
(i) 7 ∈ A
(ii) 12 ∉ A
(iii) 13 ∈ A
(iv) 9, 12 ∈ A
(v) 12, 14, 15 ∈ A
Solution:
(i) 7 ∈ A
False, since the element 7 does not belongs to the given set A.
(ii) 10 ∉ A
False, since the element 10 belongs to the given set A.
(iii) 13 ∈ A
True, since the element 13 belongs to the given set A.
(iv) 9, 10 ∈ A
True, since the elements 9 and 12 both belong to the given set A.
(v) 10, 13, 14 ∈ A
False, since the element 14 does not belongs to the given set A.
3. If set Z = {4, 6, 8, 10, 12, 14}. State which of the following statements are ‘correct’ and which are ‘wrong’ along with the correct explanations
(i) 5 ∈ Z
(ii) 12 ∈ Z
(iii) 14 ∈ Z
(iv) 9 ∈ Z
(v) Z is a set of even numbers between 2 and 16.
(vi) 4, 6 and 10 are members of the set Z.
Solution:
(i) 5 ∈ Z
Wrong, since 5 does not belongs to the given set Z i.e. 5 ∉ Z
(ii) 12 ∈ Z
Correct, since 12 belongs to the given set Z.
(iii) 14 ∈ Z
Correct, since 14 belongs to the given set Z.
(iv) 9 ∈ Z
Wrong, since 9 does not belongs to the given set Z i.e. 9 ∉ Z
(v) Z is a set of even numbers between 2 and 16.
Correct, since the elements of the set Z consists of all the multiples of 2 between 2 and 16.
(vi) 4, 6 and 10 are members of the set Z.
Correct, since the 4, 6 and 10 those numbers belongs to the given set Z.
● Set Theory
● Sets
● Subset
7th Grade Math Problems
From Elements of a Set to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.