2 What is the truth value of each of the following statement

2. What is the truth value of each of the following statements?

Solution

let\'s take two statements say p and q

p q p and q
T F F
F T F
T T T
F F F

for the first two statements.

8 is even and 6 is odd
p=8 is even -> true (T)
q= 6 is odd ->false (F)
so the truth value of statement b is False(F)

8 is odd and 6 is odd.
p=8 is odd ->false(F)
q=6 is odd ->flase(F)
so the truth value of statement d is False(F)

for the statements f and h

p q if p then q

T T T
T F F
F T T
F F T

statement f
if 8 is even then 6 is odd
p=8 is even ->true(T)
q=6 is odd ->false(F)
so the truth value of statement f is false(F)

statement h
if 8 is odd and 6 is even, then 8<6
p=8 is odd and 6 is even ->false(F)
q=8<6 ->false(F)
so the truth value of statement h is True(T)