1: Express the following compound statements symbolically without examining the truth values.
i)
2 is an even number and 25 is a perfect square.
11)
A school is open or there is a holiday.
111) Delhi is in India but Dhaka is not in Srilanks.
iv) 3 + 8 2 12 if and only if 5 x 4 < 25.
tion:
Answers
Given:
i) 2 is an even number and 25 is a perfect square.
11) A school is open or there is a holiday.
111) Delhi is in India but Dhaka is not in Srilanka.
iv) 3 + 8 = 12 if and only if 5 x 4 < 25.
To find: Express the following compound statements symbolically without examining the truth values.
Solution: The compound statements can be symbolically expressed as follows:
i) p ^ q
ii) p v q
iii) p -> q
iv) p ^ q
i)
p: 2 is an even number
q: 25 is a perfect square
and: conjunction
p ^ q
ii)
p: A school is open
q: there is a holiday
or: disjunction
p v q
iii)
p: Delhi is in India
q: Dhaka is not in Srilanka
but: conditional
p -> q
iv)
p: 3 + 8 = 12
q: 5 x 4 < 25
and: conjunction
p ^ q
Therefore, the compound statements can be symbolically expressed as follows:
i) p ^ q
ii) p v q
iii) p -> q
iv) p ^ q