# the given inequality for x 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 103E

a.

To determine

## To solve: the given inequality for x where a,b,c, and d are positive numbers.

Expert Solution

xc(b+a)ab .

### Explanation of Solution

Given:

The given condition is a,b,c,and d are positive numbers such that a(bxc)bc .

Calculation:

According to the question, the given inequality is

a(bxc)bc .

The inequality is expressed as

Hence, the value of given inequality is xc(b+a)ab .

b.

To determine

Expert Solution

xc3ab .

### Explanation of Solution

Given:

The given condition is a,b,c,and d are positive numbers such that a(bxc)bc .

Calculation:

According to the question, the given inequality is

abx+c<2a .

The inequality is expressed as