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Let p be the statement "There is no pollution in New Jersey." The statement "The whole world is polluted" is the negation of the statement "There is no pollution in New Jersey." Is the above statement true?

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Answer:

No. It is not true.

Step-by-step explanation:

p = There is no pollution in New Jersey

¬p = There is pollution in New Jersey.

Removing the 'no' in the statement yield the negation.

The given statement "The whole world is polluted" is not correct because it has gone beyond it context/domain. Statement p is about New Jersey, so the negation should be about New Jersey.

The negation can also be written as: "New Jersey is polluted".

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