Write the negation of the following statement and check whether the resulting statement is true:
Australia is a continent.
Australia is a continent.
(N/A) The negation of the statement is:
It is false that Australia is a continent.
This can also be written as:
Australia is not a continent.
Since Australia is indeed a continent,the original statement is true,and therefore the negated statement is false.
It is false that Australia is a continent.
This can also be written as:
Australia is not a continent.
Since Australia is indeed a continent,the original statement is true,and therefore the negated statement is false.
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Similar Questions
The entries in the last column of the truth table for $\sim(p \wedge q)$ are
Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$
DifficultJEE MAIN 2023
View SolutionUsing the words "necessary and sufficient",rewrite the statement "The integer $n$ is odd if and only if $n^{2}$ is odd". Also,check whether the statement is true.
Easy
View SolutionIf the truth value of the statement $(P \wedge (\sim R)) \rightarrow ((\sim R) \wedge Q)$ is $F$,then the truth value of which of the following is $F$?
Which of the following is false?
Medium
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