a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x. b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c
Follow Math Help Forum on Facebook and Google+
Originally Posted by xwrathbringerx a) Prove that the inequality x(x+1)(x+2)(x+3) >= -1 holds for all real numbers x. obviously which can be rewritten as: thus: now put b) Prove that (ab+bc+ca)^2 >= 3abc(a+b+c) holds for all real numbers a, b and c Fact: for any real numbers Proof: now your inequality follows quickly if you put
Last edited by NonCommAlg; July 31st 2008 at 05:11 AM.
View Tag Cloud