Final answer:
To determine which option is not a solution, we can substitute the values of x and y from each option into the two inequalities and see if they hold true. Option A, which is y = -3x, does not satisfy both inequalities, so it is not a solution.
Step-by-step explanation:
To find which of the given options is NOT a solution, we need to substitute the values of x and y from each option into the two inequalities and see if they hold true.
Let's take option A, which is y = -3x. Substituting the values into the inequalities:
x + y ≥ -2 becomes x - 3x ≥ -2, which simplifies to -2x ≥ -2 and x ≤ 1.
x - y < 6 becomes x - (-3x) < 6, which simplifies to 4x < 6 and x < 1.5.
Since option A does not satisfy both inequalities, it is NOT a solution.
Therefore, option A is NOT a solution of the system of inequalities.