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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

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

**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