# that a b &lt; a + c b + d &lt; c d where a , b , c , and d are positive numbers.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.7, Problem 104E
To determine

## To show:that ab<a+cb+d<cd where a,b,c, and d are positive numbers.

Expert Solution

### Explanation of Solution

Given:

The given condition is a,b,c,and d are positive numbers such that ab<cd .

Calculation:

According to the question, the given inequality is

ab<cd .

The inequality is expressed as

Also, the expression is expressed as