There are four inequalities: (1) A2 + B2 + C2 ≥ AB + BC + AC; (2) a (1-A) ≤ 14; (3) BA + ab ≥ 2; (4) (A2 + B2) (C2 + D2) ≥ (AC + BD) 2; where () A. 1 B. 2 C. 3 d. 4

There are four inequalities: (1) A2 + B2 + C2 ≥ AB + BC + AC; (2) a (1-A) ≤ 14; (3) BA + ab ≥ 2; (4) (A2 + B2) (C2 + D2) ≥ (AC + BD) 2; where () A. 1 B. 2 C. 3 d. 4

(1) A2 + B2 + c2-ab-ac-bc = 12 (2A2 + 2B2 + 2c2-2ab-2ac-2bc) = 12 [(a2-2ab + B2) + (b2-2bc + C2) + (a2-2ac + C2)] = 12 [(a-b) 2 + (B-C) 2 + (A-C) 2] ≥ 0, so constant holds; (2) a (1-A) ≤ (a + 1 − A2) 2 = 14, so constant holds; (3) when a = 1, B = - 1