Write the negation of the following statement and check whether the resulting statement is true:
The sum of $3$ and $4$ is $9.$
The sum of $3$ and $4$ is $9.$
(N/A) The negation of the statement is:
It is false that the sum of $3$ and $4$ is $9.$
This can also be written as:
The sum of $3$ and $4$ is not equal to $9.$
Since $3 + 4 = 7$ and $7 \neq 9$,the resulting statement is true.
It is false that the sum of $3$ and $4$ is $9.$
This can also be written as:
The sum of $3$ and $4$ is not equal to $9.$
Since $3 + 4 = 7$ and $7 \neq 9$,the resulting statement is true.
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