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.
Solution :
Step 1:
In this problem we have to determine the given biconditional statements are true or false.
Definition of biconditional :
If both parts having same truth value then biconditional statement is true . the biconditional operator is denoted by . the biconditional p
q represents “ p if and only if q. “
Table of biconditional :
p |
q |
p |
T |
T |
T |
T |
F |
F |
F |
T |
F |
F |
F |
T |