Solve each of the

Given

The above inequality can be split into two inequalities.

and

Let us consider the first inequality.

0 < –x

–x > 0

x < 0

x (–∞, 0) (1)

Now, let us consider the second inequality.

–x < 6

x > –6

x (–6, ∞) (2)

From (1) and (2), we get

x (–∞, 0) (–6, ∞)

x (–6, 0)

Thus, the solution of the given system of inequations is (–6, 0).

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