Let (Z_{10} , +, x) be the ring of integers modulo 10, and let S be the subset of Z_{10} represented by {0, 2, 4, 6, 8}. Which of the following statements is FALSE?
(A)(S, +, x) is closed under addition modulo 10. (B)(S, +, x) is closed under multiplication modulo 10. (C)(S, +, x) has an identity under addition modulo 10. (D)(S, +, x) has no identity under multiplication modulo 10.
D