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Question

Find the solution of the inequation 0 < |x-3|  1 contains the interval.



Correct Answer
A

x [-2, 4]

Your Answer
B

x (2, 4)

Your Answer
C

x [2, 4]

Your Answer
D

x (-2, 4)


Solution

The correct option is A

x [-2, 4]


0 < |x-3|  1

|x-3| is always positive, it can reverse less than zero. Minimum value x - 3 can take -1

-1  x - 3  1

-2  x  4

Above inequality contains the interval

                x [-2, 4]

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