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 35E
To determine

To solve: The inequality.

Expert Solution

Answer to Problem 35E

The interval notation for the given inequality is (3,5).

Explanation of Solution

Given:

The inequality is |x4|<1.

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,

|x4|<11<x4<11+4<x<1+43<x<5

Since x lies between 3 and 5, the corresponding interval notation is (3,5).

Thus, the interval notation for the given inequality is (3,5).

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