Graph the solution sets of the following inequations:

x + 2y>1

Given x + 2y>1

⇒ 2y>1 - x

⇒

Consider the equation

Finding points on the coordinate axes:

If x = 0, the y value is i.e., y = 4

⇒ the point on the Y axis is A(0,)

If y = 0, x = 1

The point on the X axis is B(1,0)

Plotting the points on the graph: fig. 3a

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. 3b

Fig 3a

Fig 3b