Solve the given inequality graphically in two-dimensional plane: $x > - 3$

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Solve the given inequality graphically in two-dimensional plane:

x > - 3

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Text solutionVerified

The graphical representation of

x = - 3

is given as dotted
line in the figure above. This line divided the

x y -

plane in two half planes
Select a point (not on the line), which lies in one of the half
planes, do determine whether the point satisfies the given inequality or not.We select the point as

(0, 0)

It is observed that,

0 < - 3

, which is true
Also, it is evident that any point on the lines does not satisfy
the given strict inequality.
Hence, every point below the line,

x = - 3

(excluding all
the points on the line determine the solution of the given
inequality.The solution region is represented by the shaded region as as
above.

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