Question

Question 3. Determine whether these biconditional statements 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 it 2>1​

Answer 1

a). 2+2=4 if and only if 1+1 = 2. True (Both statements are correct)

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

(False. 1+1=2 is correct but the 2+3 is not equal to four)

(C). 1+1 =3 if and only if monkeys can fly.

(True, because both statements are not possible)

(d). 0>1 if and only it 2>1

(False, 0 is not greater than one but 2 is, meaning one statement is wrong and the other isn't)