Examples on Set Notation
Example 1: Find the intersection fo set P = {1, 3, 5} and Q = {2, 5, 8}.
Solution:
P = {1, 3, 5}
Q = {2, 5, 8}
P ∩ Q = {5}
Example 2: Find the union of set P = {5, 10} and Q = {12, 15, 18}.
Solution:
P = {5, 10}
Q = {12, 15, 18}
P ∪ Q = {5, 10, 12, 15, 18}
Example 3: Find the difference of set P = {1, 3, 5} and Q = {2, 5, 8}.
Solution:
P = {1, 3, 5}
Q = {2, 5, 8}
P – Q = {1, 3}
Example 4: Find the complement of set X = {a, b, d} and U = {a, b, c, d, e}.
Solution:
X = {a, b, d}
Xc = {c, e}
Example 5: Find whether P is subset of Q or not where set P = {2, 4} and Q = {4, 5, 6}.
Solution:
P = {2, 4}
Q = {4, 5, 6}
Since Q does not includes all the elements of P (element 2)
Therefore, P is not a subset of Q.
Set Notation
Set notation refers to the different symbols used in the representation and operation of sets. The set notation used to represent the elements of sets is curly brackets i.e., {}.
In this article, we will explore set notation, set notations for set representation and set operations. We will also cover the set notation table and solve some examples related to set notation.
Table of Content
- What is Set Notation?
- Set Notation for Set Representation
- Set Notation for Set Operations
- Set Notation for Set Operations Table
- Set Notation Table
- Examples on Set Notation
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