Sets
2 marks · HardDescribe, using set notation, the difference between the sets and . Give an example with sets A = \{apple, banana\} and B = \{banana, cherry\}.
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A \cap B is the set of elements common to A and B (intersection). For A = {apple, banana}, B = {banana, cherry}, A \cap B = {banana}. A \cup B is the set of all elements in A, B, or both (union); A \cup B = {apple, banana, cherry}.
Also accept: Using other words like ‘belong to both’, ‘in either’, etc.; Alternative correct examples
Common mistakes: Confusing intersection and union; Omitting examples
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Marking points
B1 · 1 mark · Clearly defines intersection and union in words or symbols
B2 · 1 mark · Correct example for both intersection and union given using A and B
Worked solution
A \cap B means all elements that are in both A and B; A \cap B = \{banana\}.
A \cup B means all elements that are in A or in B or in both; A \cup B = \{apple, banana, cherry\}.