Question

$|x - 1| > 5$
then_________?

a) x belongs to (-4, 6)
b) x belongs to [-4, 6]
c) x belongs to (-infinity, -4) union (6, infinity)
d) x belongs to (-infinity, -4) union [6, infinity]​

Answer 1

|x - 1| > 5 implies two cases.

Case 1: x - 1 < - 5

This gives x < - 4.

Or x belongs to (- ∞, - 4)

Case 2: x - 1 > 5

This gives x > 6.

Or x belongs to (6, ∞)

Hence the solution set is (- ∞, - 4) U (6, ∞).

Hence (c) is the answer.

Answer 2

Answer:

(c)

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