Which set of numbers could be the length of the sides of a triangle?
{6, 9, 15)
(3,3,7)
{6, 9, 12
(1, 2, 3)

Choice C)  {6, 9, 12}

Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is not longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol