Which system of linear inequalities is represented by the graph

The correct option is 3.

Step-by-step explanation:

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

Rel line passing through the points (0,-2) and (2,0), then related equation of red line is

Since the shaded region is above the line and the related line is a solid line therefore the sign of inequality must be ≥. The first inequality is

Blue line passing through the points (0,2) and (4,0), then related equation of red line is

Multiply 2 on both the sides.

(0,0) is in the shaded region. So, the inequity must be satisfy by (0,0).

The related line is dotted, so the required sign of inequality is <. The second inequality is

The system of linear inequalities is defined as

Therefore the correct option is 3.

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