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 7E
To determine

To rewrite: The given expression without using absolute value symbol.

Expert Solution

Answer to Problem 7E

The value for the given expression is {x+1 if x1x1 if x<1.

Explanation of Solution

Given:

The expression is |x+1|.

Calculation:

By the definition of modulus, the expression can be re written as,

|x+1|={x+1       if x+10(x+1) if x+1<0={x+1 if x+10x1 if x+1<0={x+1 if x01x1 if x<01={x+1 if x1x1 if x<1

Thus, the value of the given expression is {x+1 if x1x1 if x<1.

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