Given inequality 2x+3y>6
3y>6−2x
y>‌

6−2x

3

Now consider y=‌

6−2x

3

and plot the graph [Ref. image ]we used dashed as
y>‌

6−2x

3

as there in no equal to sign
∵y is greater than ‌

6−2x

3

we will shade the upper part [Ref. image 2]
Thus the graph of 2x+3y>6 is drawn
Among the option only {B} true
half-plane the neither contains origin nor the points of the the line 2x+3y=6