Question
Consider Statement 1: All prime numbers greater than 3 are equal to a multiple of six, plus 1 or minus 1. Let P(x) be the
Consider Statement 1: All prime numbers greater than 3 are equal to a multiple of six, plus 1 or minus 1.
Let P(x) be the statement x is a prime number. Let Q(x) be the statement x is greater than 3. Let R(x) be the statement x % 6 = 1 or x % 6 = 5. (i.e. x is a multiple of 6, plus or minus 1)
Let U be the domain of x. (% represents the modulo operation in this question.)
a. Given the following definitions of U, translate the above statement into an expression of predicate logic.
i. U = all prime numbers greater than 3.
ii. U = all prime numbers.
iii. U = all positive integers.
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