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Question
`x/(2) + 5 ≤ x/(3) + 6` where x is a positive odd integer.
Sum
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Solution
`x/(2) + 5 ≤ x/(3) + 6`
⇒ `x/(2) - x/(3) ≤ 6 - 5`
⇒ `(3x - 2x)/(6) ≤ 1`
⇒ `x/(6) ≤ 1`
⇒ x ≤ 6
∵ x is a positive odd integer
∴ x = {1, 3, 5}.
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