Answer to Question #137056 in Discrete Mathematics for Kyle

Question

6. Select the statement that is the negation of “You wear matching socks to the interview or you don’t get
hired.”
A. You don’t wear matching socks to the interview or you get hired.
B. You don’t wear matching socks to the interview and you get hired.
C. You don’t wear matching socks to the interview and you don’t get hired.
D. If you don’t wear matching socks to the interview, then you don’t get hired.

Answer 1

Let p="You wear matching socks to the interview", q="you don’t gethired". Using de Morgan's law

$\neg(p \vee q)= \neg p \wedge \neg q$ we conclude that the negation to “You wear matching socks to the interview or you don’t get hired” is

B. You don’t wear matching socks to the interview and you get hired.