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
For any statements, P and q,
P q =
p V q
- p V - q
- p V q
p V - q
A ______ is a sentence which is either true or false, but not both.
Statement
Converse statement
inverse statement
contrapositive
Construct a truth table for the statement PΛ~q
Write the converse of the contrapositive of P q.
P q
q p
~p ~q
~q ~p
Consider the statements:
p: you will work hard, q : you will become wealthy. Translate ( ~p) ( ~q) into an English sentence.
If you work hard, then you will become wealthy
If you will become wealthy, then you will 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.
For any statement 'P' ~ ( ~p) Ξ
~p
p
both a and b
None of these
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 Λ - q
Symbolize the statement ' There exist atleast one number in the set of natural number which is equation to its cube'.
x N, x = x3
x W, x = x3
If two statements are combined by the word " and". the resulting statement is called
Conjunction
Disjunction
Negation