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MA1971-Quiz 1 Solved

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.

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