The negation of the statement "Kwame will take a job in industry or go to graduate school" using De Morgan's law is "Kwame will not take a job in industry or will not go to graduate school."

a. True
b. False

Respuesta :

Answer:

b. False

Step-by-step explanation:

De Morgan's law states that considering two statements A and B;

                      not (A or B) = not A and not B; and                  

                       not (A and B) = not A or not B

In set theory;

                      [tex]\overline{A u B} = \overline{A} n \overline{B}\\\overline{A n B} = \overline{A} u \overline{B}[/tex]

Applying De Morgan's law to the question,

A = Kwame will take a job in industry

B = go to graduate school

  not (A or B) = Kwame will not take a job in industry and not go to graduate school

Also;  

  not (A and B) = Kwame will not take a job in industry or not go to graduate school

Now considering the question, answer provided "Kwame will not take a job in industry or will not go to graduate school." is FALSE

               

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