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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For Review Exercises 1 to 6, which relationship (disjoint, equivalent, subset, intersect) exists between the two sets described?

A = { v o w e l s } ; B = { c o n s o n a n t s }

To determine

To identify:

The relationship (disjoint, equivalent, subset, intersect) that exists between the given sets.

Explanation

Definition:

Intersection of sets:

Let’s consider P and Q as two sets.

The set of elements that are common to (belong to both) sets P and Q is known as the intersection of P and Q. The symbol for intersection is PQ

Empty set:

A set containing no elements is called the empty set and is represented by

Disjoint sets:

Let’s consider P and Q as two sets.

Two sets that have no elements in common are known as disjoint sets. That is, intersection of both the sets is an empty set.

This can be expressed as PQ=

Representation of disjoint sets using Venn diagram:

In the following diagram, it is shown that the intersection of sets A and B is equal to an empty set. This type of relation is represented using Venn diagram as shown below:

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