# Solve the following inequality graphically in two-dimensional plane:   Q10.    $x > - 3$

S seema garhwal

$x > - 3$

Graphical representation of  $x=-3$ is given in the graph below.

The line $x=-3$ divides plot into two half-planes.

Select a point (not on the line $x=-3$) which lie in one of the half-planes, to determine whether the point satisfies the inequality.

Let there be a  point $(1,2)$

We observe

i.e. $1> -3$  , which is true.

Therefore, half plane II  is not a solution region of given inequality i.e.  $x > - 3$.

Also, the point on the line does not satisfy the inequality.

Thus, the solution to this inequality is the half plane I excluding points on this line.

This can be represented as follows:

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