Q. 253.7( 3 Votes )

Solve the followi

Answer :

Given








For this inequation to be true, there are two possible cases.


i. x > 0 and 4 – x < 0


x > 0 and 4 – x – 4 < 0 – 4


x > 0 and –x < –4


x > 0 and x > 4


x (0, ∞) (4, ∞)


However, (0, ∞) (4, ∞) = (4, ∞)


Hence, x (4, ∞)


ii. x < 0 and 4 – x > 0


x < 0 and 4 – x – 4 > 0 – 4


x < 0 and –x > –4


x < 0 and x < 4


x (–∞, 0) (–∞, 4)


However, (–∞, 0) (–∞, 4) = (–∞, 0)


Hence, x (–∞, 0)


Thus, the solution of the given inequation is (–∞, 0) (4, ∞).


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