For the statement below, write the statement symbolically using parentheses and

Question

For the statement below, write the statement symbolically using parentheses and determine whether its a negation, conjuction, disjuction, conditional, or biconditional.

Statement: The concert is free, or the concert stadium is full if and only if all seats are sold.

a) Which symbolic statement best represents the written statement?

p: The concert is free

q: The concert stadium is full.

r: All seats are sold.

Choose correct symbolic statement.

A. p v (q rightarrow r)

B. ~p v (q leftrightarrow r)

C. p ^ (q leftrightarrow r)

D. p v (q leftrightarrow r)

b) Is the statement in part (a) a negation, conjunction, disjunction, conditional, or biconditional? Choose one

A.    biconditional

B.    conditional

C.    disjunctional

D.    conjunction

Explanation / Answer

a)

D. p v (q leftrightarrow r)

b)

A.    biconditional

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