Find all real numbers x satisfying

Attachment 24498

Find all real numbers x satisfying

Attachment 24499

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- Aug 12th 2012, 06:54 PMmusngiburgerHelp on floor and ceiling functions please?
Find all real numbers x satisfying

Attachment 24498

Find all real numbers x satisfying

Attachment 24499 - Aug 12th 2012, 09:22 PMrichard1234Re: Help on floor and ceiling functions please?
You want x and (x + 1/2) to have the same integer part. This means that the fractional part of x must be between 0 and .4999... (if it were .5 then x + 1/2 would be the next largest integer).

Therefore the solution set is the set of all x such that the fractional part of x is >= 0 but < .5.