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If today is not a weekend day, then tomorrow is monday?

A) Tomorrow is Monday.
B) Tomorrow is a weekend day.
C) Tomorrow is not Monday.
D) Tomorrow's day cannot be determined.

User Mukama
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1 Answer

4 votes

Final answer:

The negation of the statement 'If today is not a weekend day, then tomorrow is Monday' is 'It is a weekend day today and tomorrow is not Monday'. Therefore, the correct answer is C) Tomorrow is not Monday.

Step-by-step explanation:

The given statement is:

If today is not a weekend day, then tomorrow is Monday.

We can represent this statement as:

If ~W, then M.

The statement is a conditional statement, where ~W represents 'today is not a weekend day' and M represents 'tomorrow is Monday'.

The negation of the conditional statement is represented as:

~(If ~W, then M).

This can be rewritten as:

~(~W or M).

By applying De Morgan's Law, the above statement can be simplified as:

W and ~M.

Therefore, the negation of the statement 'If today is not a weekend day, then tomorrow is Monday' is 'It is a weekend day today and tomorrow is not Monday'.

So, the correct answer is C) Tomorrow is not Monday.

User Ben Robbins
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8.3k points