Answer :

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

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