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Number of Points

Source:

March 21, 2006
analytic geometry

Problem Statement

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