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2 years ago

Determine whether p ∧ (p → q) and p ∧ q are logically equivalent.

Mathematics

1 answer:

Andrej [43]2 years ago

7 0

Answer:

Yes they are logically equivalent

p∧(p→q)≡p∧q

Step-by-step explanation:

The statements are logically equivalent if they have the same truth tables. So let´s use truth tables in order to determine if they are logically equivalent or not:

The picture that I attached you shows the truth table for each case. As you can see, p∧(p→q) has exactly the same truth values as p∧q. So we can conclude that they are logically equivalent.

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