Answer:
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.