We are given a set $T = \{x: -2 < x \le 9\}$ where $x$ is an integer. We are asked to find $n(T)$, which represents the number of elements in the set $T$.

1. Problem Description

We are given a set $T = \{x: -2 < x \le 9\}$ where $x$ is an integer. We are asked to find $n(T)$, which represents the number of elements in the set $T$.

2. Solution Steps

Since $x$ is an integer and $-2 < x \le 9$, the integers in the set $T$ are $-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9$.

To find the number of elements in the set, we can list them:

$T = \{-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\}$.

We can count the number of elements in the set $T$:

There are $11$ elements.

Thus, $n(T) = 11$.

3. Final Answer

C. 11