To determine whether the point (3, -3) is a solution to the given system of inequalities, we'll evaluate each inequality with \(x = 3\) and \(y = -3\).
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First inequality: \(6x + 4y < 12\) \[ 6(3) + 4(-3) < 12 \] \[ 18 - 12 < 12 \] \[ 6 < 12 \quad \text{(True)} \]
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Second inequality: \(x > 2\) \[ 3 > 2 \quad \text{(True)} \]
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Third inequality: \(y \geq -x\) \[ -3 \geq -3 \quad \text{(True)} \]
Since the point (3, -3) satisfies all three inequalities, it is indeed a solution to the system of inequalities.
Therefore, the answer is:
1 for YES.
Now, regarding the expression \(a + b\), if you have specific values for \(a\) and \(b\) that you need to provide, please specify them, or if the values are known to you, you can calculate accordingly. If there are no specific values given, \(a + b\) cannot be determined from the information provided.