Answer :

Given x + 5 > 4x – 10


x + 5 – 5 > 4x – 10 – 5


x > 4x – 15


4x – 15 < x


4x – 15 – x < x – x


3x – 15 < 0


3x – 15 + 15 < 0 + 15


3x < 15



x < 5


Thus, the solution of the given inequation is (–∞, 5).


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