Let a, b, c, and d be real numbers such that a > b and c > d. Which of the below statements are true?

(A) a + c > b + d.

(B) 2a + 3c > 2b + 3d.

(C) a - c > b - d.

(D) ac > bd.

(E) a^2 + c^2 > b^2 + d^2.

(F) a^3 + c^3 > b^3 + d^3.

I got A, B, C, and F, but it's apparently not right. Can I get some help?

juananother May 13, 2021