If U = {x: x is a natural number and x ≤ 10},
A = {a: a is an even natural number and a < 10}, and B = {b: b is a prime number and b ≤ 9}, then find A' ∩ B'. [2 marks]

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Solution

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

A = {2, 4, 6, 8}

B = {2, 3, 5, 7} (1 mark)

A' = U - A --> All the elements in U which does not belong to A.

A' = {1, 3, 5, 7, 9, 10}

B' = U - B --> Elements which belongs to U and does not belong to B.

B' = {1, 4, 6, 8, 9, 10}

A' ∩ B' = {1, 9, 10} (1 mark)

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If U = {x: x is a natural number and x ≤ 10}, A = {a: a is an even natural number and a < 10}, and B = {b: b is a prime number and b ≤ 9}, then find A' ∩ B'. [2 marks]

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