Question

given that U={1,2,3,4,5,6,7,8,9,10} .let A={1,2,3,4}B={3,4,5,6,7}C={2,3,8,9}. Find out the union, intersection, difference of C and A, compliment of A and B and the symmetric difference of A and B​

Answer 1

Let's perform the set operations you've mentioned:

1. Union of A and B (A ∪ B):

A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

A ∪ B = {1, 2, 3, 4, 5, 6, 7}

2. Intersection of A and C (A ∩ C):

A = {1, 2, 3, 4}

C = {2, 3, 8, 9}

A ∩ C = {2, 3}

3. Difference of C and A (C - A):

C = {2, 3, 8, 9}

A = {1, 2, 3, 4}

C - A = {8, 9}

4. Complement of A with respect to U (U - A):

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 2, 3, 4}

U - A = {5, 6, 7, 8, 9, 10}

5. Complement of B with respect to U (U - B):

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

B = {3, 4, 5, 6, 7}

U - B = {1, 2, 8, 9, 10}

6. Symmetric Difference of A and B (A Δ B):

A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

A Δ B = {1, 2, 5, 6, 7}

These are the results of the set operations based on the given sets A, B, and C and the universal set U.