What is the negation of the statement "y is a composite number smaller than two"?

Question

I am wondering what the negation of the statement: "$y$ is a composite number smaller than two" would be. Would it be:

1) $y$ is a composite number greater than or equal to two

or is it,

2) $y$ is a non-composite (prime) number greater than or equal to two?

Thanks.

Answer 1

The negation is formed by simply inserting not:

y is not a composite number smaller than two

You're probably asking how to apply De Morgan's Law to this new statement, in which case you're looking for

y is not a composite number OR y is not smaller than two

Answer 2

Either y is not a composite number or y is not smaller than 2

Answer 3

You should think in sets. Let $A$ be the set such that y is composite and smaller than two. $A^c$, which is the negation of $A$, is the set such that $y$ isn't composite or $y\ge 2$.