MA 1971 Bridge to Higher Mathematics Quiz 1 Show all work needed to reach your answers. 1. (10 points) Please complete the following truth table. A B C A ∧ C ¬B ¬(A ⇒ C) ((¬A) ∨ B)) ∧ C (B ⇒ (A ∨ C)) ⇔ ((C ∨ (∼ B)) ⇒ A) T F T F T T 2. (10 points) Let A, B, C ⊂ U for some universe U. Please show that C − (A ∪ B) is a subset of A c − B. 3. (5 points) Suppose that A and B are statements. Is B =⇒ A the same as A ∨ ¬B? Please explain why or why not.
