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