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Question
Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.
|x| ≤ 3
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Solution
|x| ≤ 3
The solution set of |x| ≤ a is
– a ≤ x ≤ a
∴ The required solution is – 3 ≤ x ≤ 3
∴ The solution set is [– 3, 3]
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