Which linear inequality is represented by the graph

Step-by-step explanation:

Firstly, as seen in the graph, the shaded area is below the graph. This means that

Next we can look at the slope. It is seen that m=

From these two observations, the only inequality that fits the critera is

Option A

Step-by-step explanation:

(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.

(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.

In total between y and x there should be a sign of (≤)

(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be =

Therefore, slope =

y-intercept of the line has been given as 2

So inequality for this graph will be

y ≤ x + 2

Option A is the answer.

step-by-step explanation: