Which system of inequalities is represented on this graph?

The correct option is 2.

Step-by-step explanation:

If a line passes through two points and , then the equation of line is

From the given graph it is clear that the solid line passes through the points (0,2) and (1,0). So, the related equation of solid line is

Add 2 on both sides.

The sign of inequality must be ≤ because the points on the line are included in the solution set and the shaded region is below the line.

                .... (1)

From the given graph it is clear that the solid line passes through the points (0,-1) and (1,0). So, the related equation of solid line is

Subtract 1 from both sides.

The sign of inequality must be < because the points on the line are not included in the solution set and the shaded region is below the line.

                .... (2)

The system of inequalities is

Therefore, the correct option is 2.

the answer is d

step-by-step explanation: