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Write the negation of each statement. I give up tobacco or I am not healthy.

Short Answer

Expert verified
The negation of the statement 'I give up tobacco or I am not healthy' is 'I do not give up tobacco and I am healthy'.

Step by step solution

01

Identify the phrases and logical operator

The entire sentence 'I give up tobacco or I am not healthy' is a statement. We have two phrases here: 'I give up tobacco' and 'I am not healthy'. They are connected with the logical operation 'or'.
02

Apply De Morgan's laws

According to De Morgan's laws, the negation of an 'or' statement is the 'and' statement of the negations. So the negation of 'A or B' is 'not A and not B'.
03

Write the negation

By applying De Morgan's laws, the negation of 'I give up tobacco or I am not healthy' is 'I do not give up tobacco and I am healthy'.

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