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1986 AMC 12 Question 7

AMC12 · 1986 AMC 12

Question 7

The sum of the greatest integer less than or equal to $x$ and the least integer greater than or equal to $x$ is $5.$ The solution set for $x$ is
  1. $\frac52$
  2. $\{x\mid 2\le x\le3\}$
  3. $\{x\mid 2\le x\lt3\}$
  4. $\{x\mid 2\lt x\le3\}$
  5. $\{x\mid 2\lt x\lt3\}$