Answer:
Sorry long explaination read below
Step-by-step explanation:
Given inequality 2x+3y>6
3y>6−2x
y>
3
6−2x
Now consider y=
3
6−2x
and plot the graph [Ref. image 1]
X 0 3
Y 2 0
we used dashed as
y>
3
6−2x
as there in no equal to sign
∵ y is greater than
3
6−2x
we will shade the upper part [Ref. image 2]
Thus the graph of 2x+3y>6 is drawn
Among the option only {B} true
option [B]: half-plane the neither contains origin nor the points of the the line 2x+3y=6
Hope it helps
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