Writing statements into symbols Discrete Math.The variable x represents students, F(x) means "x is a...

asigurato7

asigurato7

Answered

2022-07-16

Writing statements into symbols Discrete Math.
The variable x represents students, F(x) means "x is a freshman", and M(x) means "x is a math major"
a) some freshme are math majors? x : F ( x ) M ( x )
b) Every math major is a freshman? x : M ( x ) M ( x )
c) No math major is a freshman? ¬ x : M ( x ) F ( x )

Answer & Explanation

Kitamiliseakekw

Kitamiliseakekw

Expert

2022-07-17Added 23 answers

Step 1
(a) Some freshmen are math majors ∼ There exist x such that (x is a Freshman and x is a math major): F ( F ( x ) M ( x ) )
Step 2
(b) Every math major is a freshman. ∼ For all x (if x is a math major, then x is a Freshman.) x ( M ( x ) F ( x ) )
Step 3
(c): No math major is a freshman. ∼ There does not exist an x such that (x is a math major and x is a freshman).
¬ x ( M ( x ) F ( x ) ) x ( ¬ M ( x ) ¬ F ( x ) ) x ( M ( x ) ¬ F ( x ) )

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