Question:
If X = {a, b, c, d} and Y = {f, b, d, g}, find
(i) X - Y
(ii) Y - X
(iii) X \(\cap\) Y
If X = {a, b, c, d} and Y = {f, b, d, g}, find
(i) X - Y
(ii) Y - X
(iii) X \(\cap\) Y
(i) X - Y
(ii) Y - X
(iii) X \(\cap\) Y
Updated On: Oct 22, 2023
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Solution and Explanation
(i) X - Y = {a, c}
(ii) Y - X = {f, g}
(iii) X \(\cap\) Y = {b, d}
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Concepts Used:
Operations on Sets
Some important operations on sets include union, intersection, difference, and the complement of a set, a brief explanation of operations on sets is as follows:
1. Union of Sets:
- The union of sets lists the elements in set A and set B or the elements in both set A and set B.
- For example, {3,4} ∪ {1, 4} = {1, 3, 4}
- It is denoted as “A U B”
2. Intersection of Sets:
- Intersection of sets lists the common elements in set A and B.
- For example, {3,4} ∪ {1, 4} = {4}
- It is denoted as “A ∩ B”
3.Set Difference:
- Set difference is the list of elements in set A which is not present in set B
- For example, {3,4} - {1, 4} = {3}
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4.Set Complement:
- The set complement is the list of all elements present in the Universal set except the elements present in set A
- It is denoted as “U-A”