   Chapter 2.5, Problem 24E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

In Exercises 23 to 28 , with P = { a l l   p o l y g o n s } as the universe, draw a Venn Diagram to represent the relationship between these sets. Describe a subset relationship, if one exists. Are the sets described disjoint or equivalent? Do the sets intersect? R = { right   traingles } ; S = { scalene   triangles }

To determine

To draw:

The Venn diagram to represent the relationship between these sets and describe the subset relationship, if one exists and also determines that the set are disjoint or equivalent.

Explanation

Given:

The given sets are,

R={righttraingles}; S={scalenetriangles}

Approach:

A right angle triangle is a triangle with right angle, and scalene triangle is a triangle with non congruent sides that’s why the intersection of R and S is the set of all right scalene triangles.

The sides are not same in the given triangles so the intersection of R and S is the set of all right scalene triangles.

Draw the Venn diagram for the R and S

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