(0,0) lies on the shaded region.The shaded region lies below the line.
Putting ,x=0 and y=0 , from option(Inequality) 1 to 4
Option 1
0 ≤ -2-----Incorrect
Option 2
0 ≤ 0.5-----Correct
Option 3
0 ≤ 0.5 -------Correct
Option 4
0 ≥ 0.5 -------Incorrect
Origin(0,0) Satisfy Inequality 2 and Inequality 3.
Equation of line cuts Positive x and positive y axis.Also, angle made by line with positive Direction of X axis is Positive.
So, Tangent of Angle will be Positive.
Option 3 ,that is Inequality 3, satisfies the shaded region.
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