The option that describes the graph of the inequality is:
"number line with open circle on point negative 5 and arrow shaded to the left"
Here we have the following inequality:
2.5 < -0.5*x
First, need to isolate the variable which is x, to do that we divide both sides by -0.5
Remember that because we divide by a negative number, we need to change the direction of the inequality.
2.5/-0.5 > -0.5*x/-0.5
-5 > x
The graph of this inequality will be a number line with an open circle at x = -5, and a line that extends to the left of it, because x is smaller than -5.
Thus the correct option is:
"number line with open circle on point negative 5 and arrow shaded to the left"
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1