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Use De Morgan's laws to find the negation of each of the following statements.

a. Hikaru speaks Japanese and English. Hikaru either does not speak Japanese or does not speak English.
b. Lisa will start working as a beauty consultant or continue her study. Lisa will neither start working as a beauty consultant nor continue her study.
c. Moses is eloquent and humble. Moses is either not eloquent or not humble.
d. Ken will come on Wednesday or Friday.
e. Ken will has not decided on coming on Wednesday or Friday, but he will come on one of these days.

Respuesta :

Answer:

Step-by-step explanation:

De Morgan's Law states that

-(p \/ q) = -p /\ -q

-(p /\ q) = -p \/ -q

Considering the above stated laws, we would have the below stated interpretations.

If Hikaru speaks Japanese and English, then

a) Hikaru does not speak Japanese or Hikaru does not speak English.

If Lisa will start working as a beauty consultant or continue her study, then

b) Lisa will not start working as a beauty consultant and Lisa will not continue her study.

If Moses is eloquent and humble, then

c) Moses is not eloquent or Moses is not humble.

If Ken will come on Wednesday or Friday, then

e) Ken will not come on Wednesday and Ken will not come on Friday.

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