# the blank to complete the statement. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 3E
To determine

## To fill: the blank to complete the statement.

Expert Solution

The set of numbers greater than 2 and less than 7 can be written in set builder form as {x|2<x<7} and in interval notation as (2,7) .

### Explanation of Solution

Given information:

The set of numbers greater than 2 and less than 7 can be written in set builder form as________ and in interval notation as ______.

Calculation:

Set builder form of a set:

A variable should be introduced to represents the elements of the set, and then give a vertical bar after the variable. Then write the restrictions of the set after the bar.

Put the whole information in a second bracket.

Interval notation of a set:

To write a set of numbers greater than a, and less than b use the open interval or parenthesis () .

Now,

The set of numbers greater than 2 and less than 7 can be written in set builder form as {x|2<x<7} and in interval notation as (2,7) .

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