Answer:
Option D.
Step-by-step explanation:
We have the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
First, let's try to isolate x in one side of the inequality:
3 + (5/2)*x ≥ 2*x - 13/2
(5/2)*x ≥ 2*x - 13/2 - 3
(5/2)*x - 2*x ≥ - 13/2 - 3
Now all the terms with an x are in the left, and the terms without are in the right.
We can rewrite this inequality as:
(5/2)*x - (4/2)*x ≥ - 13/2 - 6/2
(1/2)*x ≥ -19/2
Now, multiplying both sides by 2 we get:
2*(1/2)*x ≥ (-19/2)*2
x ≥ - 19
So the graph will be a solid point in x = -19, and a ray that extends to the right (the values that are larger than -19)
The correct option is the last graph, option D.
