Competition problem — Number theory

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Number theory Difficulty 2.4 Junior Find the answer

The number of points with positive rational coordinates selected from the set of points in the $xy$ -plane such that $x+y \le 5$ , is:
$\text{(A)} \ 9$ $\text{(B)} \ 10$ $\text{(C)} \ 14$ $\text{(D)} \ 15$ $\text{(E) infinite}$

Your answer

Multiple choice: answer with the letter of the option you want.

Solution

$\fbox{E}$

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.