Challenging...Integers and real numbers big time confusion PLEASE HELP asap?

The question asks to give an example using a number of the following: A negative integer that is NOT real.

If this is not possible, explain why.

Ok The first thing that I thought was that this isn't possible because an integer is a whole number and its negative opposite. An example of a negative integer is -4. To my understanding, -4 is also a real number. Real numbers are a set of all numbers that exist on a number line.. This includes integers, rational numbers and irrational numbers. is this true? Doesn't that make -2 an integer AND a real number? I read somewhere that -2 is NOT a real number. If so pleaase explain. We are trying to look for a negative number that is NOT real. I know that a negative real number that is not an integer is -4/3 because integers can't be fractions; that is if it doesn't simplify into a whole number but I don't know if it is possible that there is a negative integer that is not real.!! omg please help me asap too much research and thinking is driving me crazzzy THANK YOU SO MUCH!! :)

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