Q. 184.5( 4 Votes )

Solve each of the

Answer :

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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