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Write the negation of the following stat...

Write the negation of the following statement: Every natural number is an integer.

A

~p `:` There exists a natural number which is not an integer.

B

`~p : ` Atleast one natural number is not an integer.

C

`~p : ` Some natural numbers are not integers.

D

None of above

Text Solution

Verified by Experts

The correct Answer is:
The given statement is `:`
p `:` Every natural is an integer.
The negation of this statement is `:`
~p `:` There exists a natural number which is not an integer.
or
`~p : ` Atleast one natural number is not an integer.
or
`~p : ` Some natural numbers are not integers.
The given statement is `:`
p `:` Every natural is an integer.
The negation of this statement is `:`
~p `:` There exists a natural number which is not an integer.
or
`~p : ` Atleast one natural number is not an integer.
or
`~p : ` Some natural numbers are not integers.
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