Final answer:
The answer is Yes, the point (-1, -1) is a solution to the linear inequality Y ≤ 3x + 2 because after substituting the point into the inequality, the inequality holds true as -1 is equal to -1.
Step-by-step explanation:
The student has asked whether the point (-1, -1) is a solution to the linear inequality Y ≤ 3x + 2. To determine this, we can substitute the x and y values from the point into the inequality as follows:
Is -1 ≤ 3(-1) + 2?
This simplifies to:
-1 ≤ -3 + 2
-1 ≤ -1
Since -1 is equal to -1, the point (-1, -1) does indeed satisfy the inequality Y ≤ 3x + 2. Therefore, the correct answer to this question is Yes, the point is a solution to the inequality.