17The point is not a solution for both inequalities, so the point is not a solution for the system of inequalities.
Step-by-step explanation:
To find the relationship of the point and the system of inequalities, let's use the value of the point (x and y values) in the inequalities:
First inequality: y ≤ 3x + 2
Using x = 1 and y = -5, we have:
-5 ≤ 3*1 + 2
-5 ≤ 3 + 2
-5 ≤ 5 (True)
Second inequality: y > –2x – 3
Using x = 1 and y = -5, we have:
-5 > -2*1 - 3
-5 > -2 - 3
-5 > -5 (False)
The point is not a solution for both inequalities, so the point is not a solution for the system.
Graphically, the point is not inside the area generated by the system of inequalities (check the image attached).
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