MathDB

7

Part of 1986 AMC 12/AHSME

Problems(1)

All in the syntax

Source: AHSME 1986 problem 7

9/30/2011
The sum of the greatest integer less than or equal to xx and the least integer greater than or equal to xx is 55. The solution set for xx is
<spanclass=′latex−bold′>(A)</span> {52}<spanclass=′latex−bold′>(B)</span> {x ∣ 2≤x≤3}<spanclass=′latex−bold′>(C)</span> {x ∣ 2≤x<3}<spanclass=′latex−bold′>(D)</span> {x ∣ 2<x≤3}<spanclass=′latex−bold′>(E)</span> {x ∣ 2<x<3} <span class='latex-bold'>(A)</span>\ \Big\{\frac{5}{2}\Big\}\qquad<span class='latex-bold'>(B)</span>\ \big\{x\ |\ 2 \le x \le 3\big\}\qquad<span class='latex-bold'>(C)</span>\ \big\{x\ |\ 2\le x < 3\big\}\qquad \\ <span class='latex-bold'>(D)</span>\ \Big\{x\ |\ 2 < x \le 3\Big\}\qquad<span class='latex-bold'>(E)</span>\ \Big\{x\ |\ 2 < x < 3\Big\}
floor functionceiling functionAMC