determine if the point (0 -3) is a solution to the inequality y>(4)/(5)x-3 as shown on the graph A: yes because (0,-3) falls within the shaded region B:no because (0,-3) falls within the shaded region C: yes because (0,-3) it falls on the boundary line D:no because (0,-3) it falls on the boundary line
To determine if the point (0, -3) is a solution to the inequality y > (4/5)x - 3, substitute the x and y coordinates of the point into the inequality and check if the inequality holds true.
Plugging in x = 0 and y = -3 into the inequality, we get:
-3 > (4/5)(0) - 3
Simplifying the right side of the inequality, we have:
-3 > -3
Since -3 is not greater than -3, the inequality is not true for the point (0, -3).
Therefore, the answer is B: no because (0, -3) falls within the shaded region.