Given that x is a prime number and y is a composite number state True or False for each statement.
(A)7y is a prime number
(B)x+x+x is a composite number
(A) False. 7y is not necessarily a prime number because it depends on the specific value of y. If y is divisible by 7, then 7y would be composite.
(B) True. The sum of three prime numbers will always be composite.
(A) False. The product of a prime number (x) and a composite number (y) will always be composite. Therefore, 7y is a composite number.
(B) True. The sum of any number of prime numbers will always be composite, except when the sum is equal to 2. In this case, x+x+x = 3x, which is composite since x is a prime number.