Kendra is thinking of an integer greater than -3 and less than -2.7. What is the integer?

1 Answer
Nov 25, 2016

There is no integer that is found strictly between those two values.


Integers are the unit steps along the number line, e.g. {..., -2, -1, 0, 1, 2, ...}. So -3 is an integer. Since -2.7 has a decimal portion, it is not an integer.

The next integer greater than -3 is -2. The next integer less than -2.7 is -3. So we're told to give an integer that's at least -2, but at the same time, at most -3... which can not be done.

If, by chance, the question asks "...greater than or equal to -3..." (or perhaps "...greater than -3 .2...") then -3 is the solution. However, in terms of the wording given, there is no answer.