Which system of linear inequalities is represented by the graph? y > x + 3 and 3x – y > 2 y > x + 3 and 3x – y > 2 y > x + 3 and 3x + y > 2 y > x + 3 and 2x – y > 2

The graph represent the system of linear inequalities and .

Step-by-step explanation:

From the given given graph it is clear that the red line passing through the point (0,3) and (-3,2). The black line passing through the points (0,-2) and (1,1).

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

The related equation of red line is

The red line is dotted and shaded potion is upper side of the line, therefore the sign of inequality is >.

         .... (1)

The related equation of black line is

The black line is dotted and shaded potion is lower side of the line, therefore the sign of inequality is <.

         .... (2)

Therefore the graph represent the system of linear inequalities and .

a is the right answer

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step-by-step explanation: