Test 5 Section 2 - #14 (page 641)

This one looks intimidating, but if you start plugging in you'll see the way pretty quickly.

Start with the lowest ordered pair you can use: (1,1). Yep, that works; it gives you 2(1) + 3(1) < 6, or 5 < 6. Note, though, that there aren't any others: (2,1) gives you 7, and (1,2) gives you 8. Both of those are bigger than 6, so the only ordered pair of positive integers that works is (1,1).