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Bridge to Higher Mathematics  Quiz 1 

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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.

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