Question

11. On the real line, if A = [0,3] and B = [1,4], then find A', B',
(AUB), An B and A-B.​

Answer 1

Given:  A = [0,3] and B = [1,4]

To find: A', B',  (AUB), An B and A-B.​

Solution:

• Now we have given  A = {0,3} and B = {1,4}.

• Lets take A', we have:

                   A’ = U – A (where U is the set of all natural numbers)

                   A' = All natural numbers except 0 and 3.

• Lets take B', we have:

                   B’ = U – B (where U is the set of all natural numbers)

                   B' = All natural numbers except 1 and 4.

• Lets take (AUB), we have:

                   A U B = {0, 2, 1, 4}

• Lets take (A∩B), we have:

                   A ∩ B = Փ

• Lets take (A-B), we have:

                   A - B = {0,3}

Answer:

            So A' = All natural numbers except 0 and 3, B' = All natural numbers except 1 and 4, A U B = {0, 2, 1, 4}, A ∩ B = Փ, A - B = {0,3}.