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 40E
To determine

To solve: The inequality.

Expert Solution

Answer to Problem 40E

The interval notation for the given inequality is (45,85).

Explanation of Solution

Given:

The inequality is |x|<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,

|5x2|<66<5x2<66+2<5x<6+24<5x<8

Simplifying further,

45<x<85

Since x lies between 45 and 85, the corresponding interval notation is (45,85).

Thus, the interval notation for the given inequality is (45,85).

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!