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Question
What universal set (s) would you propose for each of the following :
(i) The set of right triangles
(ii) The set of isosceles triangles
What universal set (s) would you propose for each of the following :
(i) The set of right triangles
(ii) The set of isosceles triangles
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Solution
(i) The set of right triangles is a subset of the set of all triangles in the plane. So, the set of all triangles in the plane forms a universal set for the set of right triangles.
(ii) The set of isosceles triangles forms a subset of the set of all triangles in the plane.
Hence the set of all triangles in the plane forms a universal set for the set of isosceles triangles.
(i) The set of right triangles is a subset of the set of all triangles in the plane. So, the set of all triangles in the plane forms a universal set for the set of right triangles.
(ii) The set of isosceles triangles forms a subset of the set of all triangles in the plane.
Hence the set of all triangles in the plane forms a universal set for the set of isosceles triangles.
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