# To solve the below inequality in terms of intervals where a, b and care positive constants- a ( b x − c ) ≥ b c

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter A, Problem 41E
To determine

## To solve the below inequality in terms of intervals where a, b and care positive constants-   a(bx−c)≥bc

Expert Solution

The solution of the inequality is xc(1a+1b)

### Explanation of Solution

Given: Inequality: a(bxc)bc

Formula Used:

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Real number line is the line whose points are the real numbers.

Calculation:

Given : Inequality equation is a(bxc)bc

Solving, we have:

a(bxc)bcabxacbc

Adding ac to both the sides, we have:

abxac+acac+bcabxac+bc

Divide both the sides by ab , we have:

abxabac+bcabxac+bcabxc(a+b)abxc(1a+1b)

Conclusion:

Hence, the solution of the inequality is xc(1a+1b)

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