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The contrapositive of \(\left( {p \cup q} \right) \to r\) is
is given.
Contrapositive of above statement is
Converse of \(\left( {p \cap q} \right) \to r\) is
is given.
Converse of above statement is
Inverse of \(\left( {p \cup q} \right) \to \sim \left( {r \cap s} \right)\) is
Given is given.
Inverse of above statement is
Which of the following is a false statement.
is a tautology
The negation of the statement “The question paper is not easy and we shall not pass” is
p: The question paper is easy.
q: We shall pass.
Given
If p and q be two prepositions then \( p\cap q \) is false when
If p and q be two prepositions then \( p\cup q \) is false when
If p and q be two prepositions then \( p\cup q \) is true when
Let p: she is beautiful.
q: She is clever, then the verbal form of \( \sim p \cap \left( { \sim q} \right) \) is
p: She is beautiful.
q: She is clever.
She is not beautiful and not clever.
Which of the following is not a preposition.
Option 1, 2, & 4 have truth value.
But we can’t find the truth value of “Mathematics is interesting”.
Hence it is not a statement.
“It is a statement iff it have a truth value.” This statement is
p: It is a statement
q: It has a truth value
It is a statement iff it have a truth value.
If p and q be two prepositions then \( p\to q \) is false when
If p and q be two prepositions then \( \sim \left( {q \leftrightarrow p} \right) \) is true when
Which of the following preposition is false
is not equivalence to
\(\left( {p \cup q} \right) \cap \left( {p \cup r} \right)\) is equivalence to
(Distributive law)