Write the negation of the following statement and check whether the resulting statement is true:
There does not exist a quadrilateral which has all its sides equal.
There does not exist a quadrilateral which has all its sides equal.
(N/A) The negation of the statement is:
It is not the case that there does not exist a quadrilateral which has all its sides equal.
This is equivalent to the statement:
There exists a quadrilateral which has all its sides equal.
This statement is true because a square is a quadrilateral that has all its four sides equal.
It is not the case that there does not exist a quadrilateral which has all its sides equal.
This is equivalent to the statement:
There exists a quadrilateral which has all its sides equal.
This statement is true because a square is a quadrilateral that has all its four sides equal.
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The negation of the conditional statement,"If it rains,$I$ shall go to school" is:
$S_1$: If $-7$ is an integer,then $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.
The negation of the statement $(p \vee q) \wedge (q \vee (\sim r))$ is
If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively,then the truth value of $(\sim p \vee q) \wedge \sim r \Rightarrow p$ is
Easy
View SolutionIf the statement $p \vee \sim(q \wedge r)$ is false,then the truth values of $p, q$ and $r$ are respectively:
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