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Which of the following is NOT a solution of the system of inequalities x+y ≥ -2 and x - y < 6?

User SEAnalyst
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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.

User Swserg
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