Let
U = {x: x is a natural number and x ≤ 10}
$A = {a: a is an even natural number and a < 10}$

B = {b: b is a prime number and b ≤ 9}

Find A^I ∩ B^I .

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Solution

[1 Mark]

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} ...(0.5 marks)

A = {2, 4, 6, 8} ...(0.5 marks)

B = {2, 3, 5, 7} ...(0.5 marks)

A^I = U - A ≡ All the elements in U which does not belong to A

= {1, 3, 5, 7, 9, 10} ...(0.5 marks)

B^I = U - B ≡ Elements which belongs to U and does not belong to B

= {1, 4, 6, 8, 9, 10} ...(0.5 marks)

A^I ∩ B^I = {1, 9, 10} ...(0.5 marks)

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