# Which of the following is equivalent to the statement below? p∨¬(p∧¬p)?

1. P

2. Q

3. T

4. F

### 2 Answers

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- Demiurge42Lv 73 years agoFavourite answer
p∧¬p is always false. p and not p can't both be true.

so ¬(p∧¬p) is always true.

since the right half of the or statement ,p∨¬(p∧¬p), is always true, the entire statement is true.

So 3. T is the correct answer.

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