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Question
Answer the following:
Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function
2[2x − 5] − 1 = 7
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Solution
2[2x − 5] − 1 = 7
∴ 2[2x − 5] = 8
∴ [2x − 5] = 4
∴ 4 ≤ 2x − 5 < 5
∴ 9 ≤ 2x < 10
∴ `9/2 ≤ x < 5`
∴ `x ∈ [9/2, 5)`
∴ solution set is `[9/2, 5)`.
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