To determine which point is a solution to the linear inequality \(4x - y \leq 10\), we need to substitute the coordinates of each option into the inequality and check if the resulting statement is true.
1. **Option #1: \((212, -12)\)**
\[
4(212) - (-12) \leq 10 \\
848 + 12 \leq 10 \\
860 \leq 10 \quad \text{(false)}
\]
2. **Option #2: \((2, -3)\)**
\[
4(2) - (-3) \leq 10 \\
8 + 3 \leq 10 \\
11 \leq 10 \quad \text{(false)}
\]
3. **Option #3: \((3, 2)\)**
\[
4(3) - 2 \leq 10 \\
12 - 2 \leq 10 \\
10 \leq 10 \quad \text{(true)}
\]
Therefore, the point in Option #3 \((3, 2)\) is a solution to the linear inequality \(4x - y \leq 10\).
So the answer is:
The point in Option **3** is a solution to the linear inequality.