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 38E
To determine

To solve: The inequality.

Expert Solution

Answer to Problem 38E

The interval notation for the given inequality is (,4][2,).

Explanation of Solution

Given:

The inequality is |x+1|3.

Property used:

|x|<a if and only if a<x<a.

Calculation:

By the property mentioned above, the given function can be re written as,

|x+1|3x+13 or x+13x31 or x31x2 or x4

The corresponding interval notation is (,4][2,).

Thus, the interval notation for the given inequality is (,4][2,).

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