Which graph represents the system of inequalities? y+2< 5xy+3x> 4y≥2x

The correct option is 2.

Step-by-step explanation:

The given system of inequalities

Inequality (1) can be written as

The related equation is

The slope of line is 5 and y-intercept is -2.

The sign of inequality is < , it means related line of inequality (1) is a dotted line and shaded region is below the line.

Inequality (2) can be written as

The related equation is

The slope of line is -3 and y-intercept is 4.

The sign of inequality is >, it means related line is a dotted line and shaded region is above the line.

Inequality (3) is

The related equation is

The slope of line is 2 and y-intercept is 0.

The sign of inequality is ≥, it means related line is a solid line and shaded region is above the line.

In the below graph the common shaded region is the solution region.

Therefore the correct option is 2.

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