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