Question

If x is an integer where 14 < x < 43, how many possible values are there for x?

Answer 1

If $x$ is an integer where $14 < x < 43$, how many possible values are there for $x$?

If $2 < x < 5$, there are **two** possible values: 3,4

If $2 < x < 6$, there are **three** possible values: 3,4,5

If $2 < x < 7$, there are **four** possible values: 3,4,5,6

So, we can see some regularity:

If $a < x < b$, there are $(b - a - 1)$ possible values.

Using our formula we can calculate:

If $14 < x < 43$, there are $(43 - 14 - 1) = 28$ possible values