Question

10. The graph of the inequality 2x + 3y > 6 is

(a) half plane that contains the origin

(b) half plane that neither contains origin nor the points of the line 2x + 3y = 6.

(C) whole XOY-plane excluding the points on the line 2x + 3y = 6

(d) entire XOY-plane.

please answer fast it's urgent



hor daso jee ni lagda​

Answer 1

Explanation:

Correct option is

B

half plane that neither contains the origin nor the points of the line 2x+3y=6

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