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

1 Answer
Dec 4, 2016

Answer:

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/}#