What is the correct domain specification?

Questions
, ,
1

I am a newbie regarding Mathematica and this forum. Please let me know if my question should have been asked elsewhere.

If I wanted to solve three equations (eq) for {a, b, c}, where {a, b, c} are positive integers, I could write

    Solve[eq, {a, b, c}, PositiveIntergers].

My question is, how would I write the domain specification if the domain were the positive integers up to some maximum number, say 17? These attempts didn’t work:

    Solve[eq, {a,b,c,}, PositiveIntegers<17]

    Solve[eq, {a, b, c} (a|b|c)∈Z_>0 && a<17 && b<17 && c<17]

Greg

2

You can add those conditions to the equation:

Solve[eq && a < 17 && b < 17 && c < 17,
 {a, b, c}, PositiveIntergers]