Answer and step-by-step explanation:
To determine if the given statement is true or false, we should know that a prime number is a natural number that can be divided (without a remainder) by itself and one.
Example of Prime Numbers: 2, 3, 5, 7, 11
"If n is a whole number"
Let's try substituting any whole number to n. Then simplify.
Let n be 4 and 13, they are whole numbers but one is a composite number and one is a prime number.
n^2 + n + 11
(4)^2 + 4 + 11
= 16 + 4 + 11
= 31 (a prime number)
(13)^2 + 4 + 11
= 169 + 4 + 11
= 184 (not a prime number)
Thus, if you substitute a prime number to the given equation, the result will be a composite number.
Therefore, the given statement is false.
