Question

Q : Determine whether these biconditionals are true or false.
a) 2 + 2 = 4 if and only if 1 + 1 = 2.
b) 1 + 1 = 2 if and only if 2 + 3 = 4.
c) 1 + 1 = 3 if and only if monkeys can fly.
d) 0 > 1 if and only if 2 > 1

Answer 1

Answer on Question #74713, Math / Discrete Mathematics

Q: Determine whether these biconditionals are true or false.

Biconditional Truth Table

a) $2 + 2 = 4$ if and only if $1 + 1 = 2$ .

True: both statements are true.

b) $1 + 1 = 2$ if and only if $2 + 3 = 4$ .

False: first statement is true, but second statement is false, making everything false.

c) $1 + 1 = 3$ if and only if monkeys can fly.

True: first statement is false and the second statement is also false, consequently making the biconditional true.

d) $0 > 1$ if and only if $2 > 1$ .

False: first statement is false, but second statement is true, making everything false.

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