Graph the solution sets of the following inequations:

2x - 3y<4

Given 2x - 3y<4

⇒ 2x - 4<3y

⇒3y>2x - 4

⇒

Consider the equation

Finding points on the coordinate axes:

If x = 0, the y value is i.e., y =

⇒ the point on the Y axis is A(0,)

If y = 0, x = 2

The point on the X axis is B(2,0)

Plotting the points on the graph: fig. 4a

Now consider the inequality

Here we need the y value greater than

⇒ the required region is above point A.

Also , the line AB is represented in dotted line. This is s done because

Therefore the graph of the inequation is fig. 4b

Fig 4a

Fig 4b