1. The problem statement, all variables and given/known data 2.10. Express each of the following statements as a conditional statement in "if-then" form or as a universally quantified statement. Also write the negation (without phrases like "it is false that"). a) Every off number is a prime b) The sum of the angles of a triangle is 180 degrees c) Passing the test requires solving all the problems d) Being first in line guarantees getting a good seat e) Lockers must be turned in by the last day of class f) Haste makes waste g) I get mad whenever you do that h) I won't say that unless I mean it 2.41. A clerk returns n hats to n people who have checked them, but not necessarily in the right order. For which k is it possible that exactly k people get a wrong hat? Phrase your conclusion as a biconditional statement. 2. Relevant equations ? 3. The attempt at a solution The only part of the first problem that I'm stuck on is b. The sum of the angles of a triangle is 180 degrees What does "a" triangle mean? Does that mean "any" triangle or "one" triangle? I don't know how to interpret that. And the second problem is just plain confusing. So, suppose n=4. You could have k=1,2,3 or 4. You could have right, wrong, wrong, wrong right, right, wrong, wrong right, right, right, right . . . ... Is that the right idea? I'm not sure if I'm doing this right.