Explanation:
what is the problem for you to understand ?
for a point to be a solution of a set of equations or inequalities just means that when you use its coordinates as x and y values, the equations and inequalities must remain true.
if at least one becomes false, the point is not a solution.
8 >= 2x - y
2y < -4x - 2
out point (x, y) is (2, -3).
so,
8 >= 2×2 - -3 = 4 + 3 = 7
8 >= 7 true
2×-3 < -4×2 - 2
-6 < -8 - 2 = -10
-6 < -10 false
-10 is to the left of -6 on the number line, and therefore smaller than -6.
so, no, (2, -3) is NOT a solution for this system of inequalities.
please let me know, if you still have troubles with that and need further explanation.