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Question
Write the subset relations between the following sets.
X = set of all quadrilaterals
Y = set of all rhombuses
S = set of all squares
T = set of all parallelograms
V = set of all rectangles
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Solution
Rhombus, squares, parallelograms and rectangles all are quadrilateral.
∴ Y ⊆ X, S ⊆ X, T ⊆ X, V ⊆ X
Every square is a rhombus, parallelogram and rectangle.
∴ S ⊆ Y, S ⊆ T, S ⊆ V
Every rhombus and rectangle is a parallelogram.
∴ Y ⊆ T, V ⊆ T
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