Sets 2

2 marks · Normal

State whether the following statement is true or false. Justify your answer. 'If n(A ∩ B) = 0, then sets A and B have no elements in common.'

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True. If the intersection of two sets has zero elements, then they share no members in common.

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Marking points

B1 · 2 marks · Correctly stating 'True' and giving a valid explanation, e.g., 'No common elements if intersection is empty.'

Worked solution

True. If n(A ∩ B) = 0, it means A and B have no shared elements, so their intersection is the empty set.