Name: Sets: Intersection and Union
Uploaded: 2019-07-19
Duration: 5 min 51 s
Description: Suppose you have a Venn diagram but want to find out the intersection of sets and the union of sets. Learn more by watching this video.

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.

Accepted Answer

Given: 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.

We know that a set B is a subset of A if all of the elements of set B are also the elements of set A.

So, the required subset relations are:

$S \subseteq X$ , because all squares are quadrilaterals.

$Y \subseteq X$ , because all rhombuses are quadrilaterals.

$T \subseteq X$ , because all parallelograms are quadrilaterals.

$V \subseteq X$ , because all rectangles are quadrilaterals.

$S \subseteq Y$ , because all squares are rhombuses.

$S \subseteq V$ , because all squares are rectangles.

$S \subseteq T$ , because all squares are parallelograms.

$V \subseteq T$ , because all rectangles are parallelograms.

$Y \subseteq T$ , because all rhombuses are parallelograms.

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.

Important Questions on Sets

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