It is summer and there is no snow.” Write, in words, the negation of this compound statement. (Hint: Use De Morgan’s laws.)

Question

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Answer 1

Let A = It is summer and B = there is no snow.  The statement "It is summer and there is no snow" = A ∩ B

 

DeMorgan's Theorem states:

    

~(A ∩ B) = ~A U ~B = It is not summer or there is snow

 

Where:

• ∩ = the logical "and" operations (intersection)
• U = the logical "or" operation (union)
• ~ = negation