Let's go through each answer choice one at a time. -------------------------------------------------- Choice A 3/4 < 5/7 3*7 < 4*5 ... cross multiply 21 < 20 The last inequality is false, so the original inequality is false Choice A is false -------------------------------------------------- Choice B 2/3 > 5/6 2*6 > 3*5 ... cross multiply 12 > 15 The last inequality is false, so the original inequality is false Choice B is false -------------------------------------------------- Choice C 5/8 > 6/10 5*10 > 8*6 ... cross multiply 50 > 48 The last inequality is true, so the original inequality is true Choice C is true -------------------------------------------------- Choice D 4/5 < 2/9 4*9 < 5*2 ... cross multiply 36 < 10 The last inequality is false, so the original inequality is false Choice D is false -------------------------------------------------- In summary, we have A. False B. False C. True D. False So the final answer is choice C