Is the statement true or false? Justify your answer.
If triangle ABC is any triangle with sides and angles labeled in the usual way then b^2 plus c^2 greater than 2bc cosine A.

A.
True, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a positive number. Since b squared plus c squared minus bc cosine A greater than 0, it follows that b squared plus c squared greater than 2 bc cosine A.
B.
True, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a negative number. Since b squared plus c squared minus 2 bc cosine A less than 0, it follows that b squared plus c squared less than 2 bc cosine A.
C.
False, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a negative number. Since b squared plus c squared minus 2 bc cosine A less than 0, it follows that b squared plus c squared less than 2 bc cosine A.
D.
False, by the Law of Cosines, b squared plus c squared minus 2 bc cosine A equals a squared, which is a positive number. Since b squared plus c squared minus 2 bc cosine A greater than 0, it follows that b squared plus c squared greater than 2 bc cosine A.