$25
MA 1971 Bridge to Higher Mathematics Name:
Quiz 1 D Term,
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1.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
2.Let A,B,C ⊂ U for some universe U. Please show that C −(A∪B) is a subset of A −B.
3.Suppose that A and B are statements. Is B =⇒ A the same as A ∨¬B? Please explain why or why not.