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schepotkina [342]
3 years ago
11

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

Mathematics
1 answer:
Andrej [43]3 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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