Find whether the number is a solution of .
Yes, the number is a solution of the inequality .
Here, use the concept of basic linear inequalities in which we have to know the term inclusion and exclusion of the number which means if a number contains in the equation is which the number is also included but if the sign is which means the number is excluded and in both case equality holds the same.
The inequality is .
The graph of the above inequality in real line is:
From the graph it is seen that the line of , is not included in the because an open circle is shown at . So, n includes all numbers greater than .
Now, from the above step it is clear that the value of n will be greater than which means the value of n will be and in this is also present.
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