- 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 |
c
- Let A,B,C ⊂ U for some universe U. Please show that C −(A∪B) is a subset of A −B.
- Suppose that A and B are statements. Is B =⇒ A the same as A ∨¬B? Please explain why or why not.
