Question

U = {x ∈ N / x ≤ 9}, A = {2, 3, 5},B = {4, 5, 7), then find A’, (A')’, B' and (B')'. Calculate as asked.

Answer 1

Answer:

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Answer 2

Answer:

A' = {1, 4, 6, 7, 8, 9}

(A')' = {2, 3, 5} = A

B' = {1, 2, 3, 6, 8, 9}

(B')' = B = {4, 5, 7}

Step-by-step explanation:

In the given question,

We have a Universal Set, U = {x∈N, x ≤ 9}

So,

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

and,

A = {2, 3, 5}

B = {4, 5, 7}

So,

A' = U - A = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {2, 3, 5}

A' = {1, 4, 6, 7, 8, 9}

Also,

(A')' = U - (A')' = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {1, 4, 6, 7, 8, 9}

(A')' = {2, 3, 5} = A

Now,

B' = U - B = {1, 2, 3, 4, 5, 6, 7, 8, 9} - {4, 5, 7} = {1, 2, 3, 6, 8, 9}

B' = {1, 2, 3, 6, 8, 9}

And,

(B')' = B = {4, 5, 7}