Which of the following inequalities matches the graph?

a.

Step-by-step explanation:

We know that the intercept equation of a line is given by :-

, where m is the slope of the line and c is the y intercept.

From the given graph , we can see that the two points on the dotted line are(0,7) and (2,3).

The y- intercept = Value of y at x=0 =7

The slope of the line passing through two points is given by :-

i.e.

Thus , the  slope of the line passing through (0,7) and (2,3) :-

Put m=-2 in the general intercept equation of line ,

Since the line is dotted , this means that one quantity is strictly greater than other.

The graph is shaded in the left side , it means the value of the expression is less than 7.

Hence, the inequality for the given graph will be:-

step-by-step explanation: