Not (A and B) is the same as Not A and Not B.Group startsTrue or FalseTrue, selectedFalse
Question
Not (A and B) is the same as Not A and Not B.
Group starts
True or False
True, selected False
Solution
To answer the question, let's break it down step by step:
- The statement is "Not (A and B) is the same as Not A and Not B."
- We need to determine if this statement is true or false.
To do this, we can use a truth table to evaluate the statement:
| A | B | A and B | Not (A and B) | Not A | Not B | Not A and Not B |
|---|---|---|---|---|---|---|
| True | True | True | False | False | False | False |
| True | False | False | True | False | True | False |
| False | True | False | True | True | False | False |
| False | False | False | True | True | True | True |
From the truth table, we can see that the statement "Not (A and B) is the same as Not A and Not B" is false. This is because there are cases where the values of Not (A and B) and Not A and Not B are different.
Therefore, the answer to the question is False.
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