The Venn diagram below shows the sets A and B - Junior Cycle Mathematics - Question 9 - 2018
Question 9
The Venn diagram below shows the sets A and B.
List the elements of each of the following sets.
(i) A = { }
(ii) A ∩ B = { }
(iii) B \ A = { }
Tom says: "P ∩ Q ... show full transcript
Worked Solution & Example Answer:The Venn diagram below shows the sets A and B - Junior Cycle Mathematics - Question 9 - 2018
Step 1
A = { }
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Answer
The elements in set A are {t, a, s, e}.
Step 2
A ∩ B = { }
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Answer
The intersection of sets A and B includes the elements they have in common, which are {a, e}.
Step 3
B \ A = { }
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Answer
The elements in set B that are not in set A are {x, m}.
Step 4
State whether Tom’s statement is always true, sometimes true, or never true. Justify your answer.
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Answer
Always true.
Justification:
If elements are in both P and Q, they must be in P. This is because the intersection P ∩ Q contains elements common to both sets, and such elements must necessarily belong to set P. Hence, the claim holds true.
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