Question

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.

Answer 1

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.

Answer 2

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".