Is "SSA triangle problems may have zero or two solutions." an ambiguous statement?

"Zero or two solutions" suggests to me (I have a maths/physics background) that there can be only zero or two solutions - like a quadratic equation.

The question is not ambiguous.

(True or False) SSA triangles can have zero or two solutions.

• If your answer is true, then you mean the cardinality of the solution set can be zero or two. There is a possibility that either of these could be the value. It's equally possible that neither is.
• If your answer is false, then neither 0 nor 2 can ever be the cardinality. To give another example, consider (True or false) The number of seeds in a monocotyledon can be two. It is false, as the number is always one.

The thing with such True or false questions is to first look at the stronger condition. Here the false statement is strong: it rules out 0 and 2 as solutions (cannot be). Comparatively the true statement is vague (can be 0 or 2, can be 1, can be infinity). Use the law of elimination: since the false statement is wrong, true has to be the correct answer.

Finally, as this page shows, an SSA triangle can have 0, 1 or 2 solutions based on the length of the sides and the angles. So mathematically the correct answer for the question is TRUE. (That was one for math.SE.)

As mgb observes, "Zero or two solutions" suggests that there can be only zero or two solutions.

Since there can be zero, one or two solutions, the question is ambiguous - since (as phrased) it implies that one solution is not a viable option (which is false), but states that "zero or two solutions" are viable options (which is true).

There is no ambiguity.

The statement "... can have zero or two solutions" categorically states that it can either have two solutions or none at all. Having one solution or more than two solutions is not a possibility.

The answer to the question must be given accordingly: FALSE.