Answer :

Given 2x – 3 < 7 and 2x > –4


Let us consider the first inequality.


2x – 3 < 7


2x – 3 + 3 < 7 + 3


2x < 10



x < 5


x ( –∞, 5) (1)


Now, let us consider the second inequality.


2x > –4



x > –2


x (–2, ∞) (2)


From (1) and (2), we get


x (–∞, 5) (–2, ∞)


x (–2, 5)


Thus, the solution of the given system of inequations is (–2, 5).


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