Answer
a). There exists an integer x such that x is prime and x is not odd.
True. This is an existential statement which is defined to be true if and only if "x is prime and even" is true for at least 1 integer x. Since 2 is a prime number and it is not odd, this statement is true.
b). If an integer x is prime, then x is not a perfect square.
True.
Since a prime number is an integer greater than 1 and is not a product of 2 similar positive integers. So a prime number cannot be a perfect square because if it were, it would be a product of 2 similar positive integers.
c). There exists a x such that x is odd and x is a perfect square.
True. This is an existential statement which is defined to be true if and only if "x is odd and x is a perfect square" is true for at least 1 integer x. Since 9 is a perfect square and it is odd, this statement is true.
Work Step by Step
1.true
2.true
3.true
