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Question

The number of integers satisfying the condition |x3|>5 and |x+1| 4 is

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is B 3

|x3| is the distance between x and 3. The set of integers which satisfy the condition |x3| > 5 or
whose distance from 3 is more than 5 units will be


Similarly|x+1| 4 means set of all integers which are less than or equal to 4 units from '-1'. They are

The numbers common are -5, -4, -3. [-2 is not part of the first set]


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