Translate the following statement into mathematical English.

Makenna Booker 2022-08-01 Answered
Complete the following problems:
a) Translate the following statement into mathematical English. x [ ( P ( x ) ( x = 2 ) ) O ( x ) ], where P(x) means "r is a prime number" and O(x) means "x is odd"
b) Negate this statemem and express the result as a positive satemem (without using "no" or "nor"): There issomeone in the freshman class who doesn't have a roommate
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Answers (1)

iljovskint
Answered 2022-08-02 Author has 18 answers
Step 1
For part (a) x (If xis a prime number and x is not equal to 2 then x is an odd number)
Every prime number except 2 is an odd number.
Step 2
For part (b)
F ( x ) = x is in the freshman class
R ( x , y ) = x has roommate y
Original Statement is x F ( x ) y R ( x , y )
Negation will be as follows:
x F ( x ) y R ( x , y )
x ( F ( x ) y R ( x , y )
x F ( x ) y R ( x , y )
x F ( x ) y R ( x , y )
x F ( x ) y R ( x , y )
Everyone in the freshman class has atleast one roommate
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