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

Since, all squares are rectangle, all rectangles are parallelogram, all parallelograms are quadrilateral; and all squares are rhombus, all rhombus are parallelogram, all parallelograms are quadrilateral.

So, the subset relations are:

S < V < T < X and S < Y < T < X

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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.

Since, all squares are rectangle, all rectangles are parallelogram, all parallelograms are quadrilateral; and all squares are rhombus, all rhombus are parallelogram, all parallelograms are quadrilateral. So, the subset relations are: S < V < T < X and S < Y < T < X

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.

Since, all squares are rectangle, all rectangles are parallelogram, all parallelograms are quadrilateral; and all squares are rhombus, all rhombus are parallelogram, all parallelograms are quadrilateral.

So, the subset relations are:

S < V < T < X and S < Y < T < X