Question

-5<2m≤9
m is an integer.
Write down all the possible values of m.

This is my first time using this site. Please could someone explain what an integer is and how I can solve this problem. :)

Answer 1

\[-5<2m \le9\]
divide each inequality by 2
\[-\frac{ 5 }{ 2 }<m \le \frac{ 9 }{ 2 }\]
\[-2.5<m \le 4.5\]
m is an integer.
\[m \in [-2,-1,0,1,2,3,4] \]

Answer 2

A simple definition of an integer is that it is a "WHOLE" number :)
So anything in a fraction form, decimal form etc.
So number like: