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Question
Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then ______.
Options
S ∩ T ∩ C = Φ
S ∪ T ∪ C = C
S ∪ T ∪ C = S
S ∪ T = S ∩ C
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Solution
Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then S ∪ T ∪ C = S.
Explanation:
The given conditions of the question may be represented by the following Venn diagram.
From the given Venn diagram, we clearly conclude that S ∪ T ∪ C = S
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