   Chapter 3.5, Problem 33E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# In Exercises 31 to 34, apply a form of Theorem 3.5.10. If the lengths of two sides of a triangle are represented by 2 x + 5 and 3 x + 7 (in which x is positive), describe in terms of x the possible lengths of the third side whose length is represented by y .

To determine

The inequality that states the possible values of y in terms of x.

Explanation

Given:

The side of a triangle have lengths of 2x+5, 3x+7 and y.

Concept:

The length of any side of a triangle must lie between the sum and difference of the lengths of the other two sides.

Calculation:

Consider a triangle,

The length of the two sides of a triangle is 2x+5 and 3x+7.

Calculate the sum of the given sides.

(2x+5)+(3x+7)=5x+12

Calculate the difference of the given sides

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