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What is the negation of the following statement: "I exercise and I feel tired."

A. I exercise and I feel tired.
B. I exercise and I feel envigorated.
C. I don't exercise or I feel tired.
D. I exercise or I feel tired.
E. I don't exercise and I feel tired.
F. I don't exercise or I feel envigorated.
G. I don't exercise and I feel envigorated.
H. I exercise or I feel envigorated.

2 Answers

2 votes

Answer:

G. I don't exercise and I feel envigorated.

Explanation:

In this sentence the I exercise and I feel tired you need to say in order tos ay the negation of this sentence would be:

I do not exercise nor feel tired, since there´s no option that says this, we can choose the one that says I don´t exercise, and envigorated is the opposite than tired, so the correct option would be I don´t exercise and I feel envigorated.

User Rubund
by
8.0k points
5 votes

Answer:

The answer is F.

Explanation:

Let
P and
Q be the propositions "I exercise" and " I feel tired", respectively. Then we want to know what is the negation of
P \land Q. Remember that, due to De Morgan's laws, the negation of
P \land Q is
\\eg P \lor  \\eg Q, that is "I don't exercise or I feel envigorated".

User Teegaar
by
8.1k points

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