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Solve the following inequalities graphically in two-dimensional plane:

   

Solution:

Given inequality  

   

Now consider,

X

   

   

y

   

   

Let us draw a dotted line

   

in the graph (∵ 

   

is excluded in the given question)

Let us take

   

A point

   

is selected,

⇒ 

   

⇒ 

   

(this is true)

Therefore, the solution region of  

   

is below the line

   

. (That is origin is included in the region)

The graph is represented as: