MATH 111 Final: STAT 111 Amherst S17 20Stat 20111 20Final 20Exam

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 111
• Professor: All

Document Summary

Wednesday 11 may: let e(x) represent the statement x had eggs and let b(x) represent the statement. You should explain each step in your answer: (10 points) let a, b, c be sets. Prove that (a c) \ b (a \ b) c: (10 points) use a truth table to decide if the following argument is valid, either p or q is true. If p is true, then q is true. Therefore q is true and p is false: (10 points) let x be a real number. Prove that [x]r = [y]r. (note: in this question you are not allowed to assume we know that the equivalence classes form a partition. : let a be the set of positive integers, i. e. a = n \ {0}. 3: (10 points) let f : a b, g : b c and h : c d be functions such that g f is onto and h g is one-to-one.