The point which does not lie in the solution region of 2x - y ≤ 4 is

The correct answer is Option (2) → (5, 1)

A point lies in the solution region only if its coordinates satisfy \(2x - y \le 4\). Substituting each point:

    \((1, -1):\ 2 + 1 = 3 \le 4\), lies in the region
    \((5, 1):\ 10 - 1 = 9 \gt 4\), does not lie in the region
    \((0, 2):\ 0 - 2 = -2 \le 4\), lies in the region
    \((1, 1):\ 2 - 1 = 1 \le 4\), lies in the region

So (5, 1) is the point outside the solution region.