Answer to Question #262126 in Discrete Mathematics for eman

Question

Use De Morgan's laws to find the negation of each of the following statements. a) Jan is rich and happy.

Answer 1

Let p - "Jan is rich", q - "Jan is happy"

Then proposition Jan is rich and happy can be written as $p\land q$ . Then, according to De Morgan's law

$\lnot(p\land q)=\lnot p\lor \lnot q$ . Or, by words, Jan is not rich, or not happy, or both