To determine if the point \((-1,4)\) is part of the solution set for the inequality \(y < -\frac{1}{2}x - 3\), we can substitute \(x = -1\) and \(y = 4\) into the equation.
First, calculate \(-\frac{1}{2}(-1) - 3\):
\[ -\frac{1}{2}(-1) = \frac{1}{2} \]
\[ \frac{1}{2} - 3 = \frac{1}{2} - \frac{6}{2} = -\frac{5}{2} \]
So the equation becomes:
\[ y < -\frac{5}{2} \]
Now, we check if \(y = 4\) satisfies this inequality:
\[ 4 < -\frac{5}{2} \]
This statement is false because \(4\) is greater than \(-\frac{5}{2}\).
Thus, the point \((-1, 4)\) is not part of the solution set of the inequality.
The answer is \(2\) for no.