Write the contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
Construct a truth table for the statement PΛ~q
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
Write the statement. This is April (P) and income tax returns must be filed ( q) in symbolic form using the letter in
parentheses to represent the corresponding component
PVQ
P Q
PΛQ
P ~ Q
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
Consider the statements:
P : you will work hard, q : you will become wealthy. Translate q P into an English sentence.
If you work hard, then you will become wealthy
You will become wealthy only if you work hard.
If you will not work hard, then you will not become wealthy.
If you will not become wealthy, then you will not work hard
Write the converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
Let P be " Ananya is beautiful", and q be " Ananya is 165 cms tall" under what conditions is the statement, " Ananya is beautiful or 165 cms tall". false?
If Ananya is not beautiful and / or not 165 tall
Only if Ananya is neither beautiful nor 165 cm tall
Only if Ananya is both beutiful and 165 cm tall
If Ananya is beutiful and /or not 165 cm tall.
Let P be " Shruti can type", and let q be " Shruti takes short hand". Write the statement ' Shruti can never type nor take short hand' in symbolic form.
pV q
PΛ~q
~PΛq
~ P Λ ~q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive