Chapter 1.1, Problem 3E

To determine

To fill: the blank to complete the statement.

Answer to Problem 3E

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

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 $\left(\right)$ .

Now,

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