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Chapter 3: Problem 13

Use De Morgan's laws to write a statement that is equivalent to the given statement. It is not the case that my high school encouraged creativity and diversity.

Short Answer

Expert verified
The equivalent statement according to De Morgan's laws is: 'My high school did not encourage creativity or my high school did not encourage diversity'.

Step by step solution

01

Identify the components

In the statement 'It is not the case that my high school encouraged creativity and diversity', the two distinct entities are 'my high school encouraged creativity' and 'my high school encouraged diversity', working under the conjunction 'and'.
02

Apply De Morgan's law

According to De Morgan's first law, we negate each part of the statement and change the conjunction 'and' to a disjunction 'or'. Hence, the equivalent statement is 'My high school did not encourage creativity or my high school did not encourage diversity'.

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