We need to translate into an inequality the following problem:
What number divided by five is more than 6?
Let's call k the number we are looking for. Then, that "number divided by five" can be translated as:
[tex]k\div5[/tex]Now, "more than" is represented using the symbol ">" (with the opened end turned to the greater amount.
Thus, since the above expression "is more than 6", this can be translated as:
Answer
[tex]k\div5>6[/tex]