2. Given: p: we have a quiz this week q: My quiz average will be 80% Translate t

Question

2. Given: p: we have a quiz this week q: My quiz average will be 80% Translate the following into symbolic logic expressions. Place parentheses as necessary to indicate the order of operations. a. We have a quiz this week or we do not have a quiz this week and my quiz average will be 80%. b. If we have a quiz this week then my quiz average will not be 80%. C. If my quiz average will be 80%, then we do have a quiz this week. d, we have a quiz this week if and only if my quiz average will not be 80%. e, we have a quiz this week and my quiz average will be 80%. f. Either we have a quiz this week and my quiz average will not be 80% or if my quiz average is 80% then we will not have a quiz this week.

Explanation / Answer

a)p v ~pq(disjuction and conjuction)

b)p =>~ q(conditional)

c)q=>p(conditional)

d)p <-> ~q(biconditional)

e) p^q(conjuction)

f)(p^~q) v (q ->~p)

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