BuyFind

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter A, Problem 42E
To determine

To solve the below inequality in terms of intervals where a, b and care negative constants-

  ax+b<c

Expert Solution

Answer to Problem 42E

The solution of the inequality is x>cba

Explanation of Solution

Given: Inequality: ax+b<c

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 ax+b<c

Subtracting b from both the sides, we have:

  ax+bb<cbax<cb

Divide both the sides by a and reversing the sign since a is negative constant, we have:

  axa>cbax>cba

Conclusion:

Hence, the solution of the inequality is x>cba

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