Sets 2

2 marks · Normal

Is the statement below true or false? Justify your answer. 'If E and F are sets and E ∩ F = ∅, then E and F have no elements in common.'

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True. The intersection is empty so there are no common elements.

Also accept: True, by definition of intersection.

Common mistakes: Leaving out explanation; Giving only 'true'

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Marking points

B1 · 1 mark · States correct truth value (True).

B2 · 1 mark · Provides clear justification referencing intersection and empty set.

Worked solution

True. If E ∩ F = ∅, then there is no element that belongs to both E and F, so they have no elements in common.