For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
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 contrapositive of the inverse of P q
pq
qp
~p~q
~q~p
Let P be " Shruti can type", and let q be " Shruti takes short hand". Write the statement Shruti can type and take shorthand in symbolic form.
PΛ q
p V q
~ (p V q)
- P Λ - q
Write the statement ' Accountancy is a required subject for chartered Accountants (m) but not for engineers (n).
In symbolic form using the letter in parentheses to represent the corresponding component.
mΛ N
m V n
m ~ n
m Λ ~n
If two statements are combined by the word " and". the resulting statement is called
Conjunction
Disjunction
Negation
p: you will work hard, q : you will become wealthy. Translate ( ~p) ( ~q) into an English sentence.
If you will become wealthy, then you will work hard
If you will not become wealthy, then you will not work hard.
Write the converse of the statement " If you drink milk, you will be strong".
If you are strong, then you should drink milk
If you do not drink your milk, then you are not strong
If you are not strong, then you do not drink your milk.
If you are strong, then You do not drink your milk
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
