Question

A number is less than 24 or greater the 30. How do you write compound inequality that represents the possible values the number?

Answer 1

The values of `n` are the empty or null set or `n = {O/}`

Explanation:

First, let's call the number we are looking for `n`

Then, If a number is "less than 24" we can write this as:

`n < 24`

Also, if this number, `n`, is "greater than 30" we can write:

`n > 30`

We can flip this inequality around to get:

`30 < n`

Combining these two terms gives:

`30 < n < 24`

However, because 30 is not less than 24 the values of `n` are the empty or null set or `n = {O/}`