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Use De Morgan's laws to write a statement that is equivalent to the following statement:

It is not true that frogs and fish both have fins.

Choose the correct answer below:

A. Frogs do not have fins or fish do not have fins.
B. Frogs do not have fins and fish do not have fins.
C. Frogs have fins or fish have fins.
D. If frogs have fins, then fish do not have fins.



Answer :

GinnyAnswer

Final answer:

De Morgan's laws explain the relationship between logical operators when negated, showing how ‘and’ and ‘or’ statements can be equivalent. The equivalent statement to the given scenario is that both frogs and fish do not have fins.


Explanation:

De Morgan's laws are a set of rules in logic that explain the relationship between the logical operators 'and' and 'or' when negated. One of the laws states that the negation of 'A and B' is equivalent to 'not A or not B'.

In the context of the given statement about frogs and fish having fins, the equivalent statement using De Morgan's laws is B. Frogs do not have fins and fish do not have fins. This aligns with the principle that the negation of 'both A and B' corresponds to 'not A or not B'.


Learn more about De Morgan's laws here:

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