Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. Post a replyTopic review (newest first)
Hi;
what is muirheads' inequality?
Hi all;
Hi;
Try a = 2, b = 2, c = 1. You are okay after A) Mistake made in B. It was a pretty good idea though.
why not?
Hi;
hi guys
It is okay. I am not sure about the problem either.
Ok, my mistake.
Hi Bob;
Not if you have
This is for grade 9 and the other two were fairly straight forward. Could the question be:
Hi;
By Muirheads inequality: Therefore it is not mandatory that this can be done by the AMGM.
hi again, and So put these together and you get what you wanted. Now for (3). edit: Many hours later. I cannot do this one yet. I've put out a general request for more brains. Bob
hi fromwoodhouse, but we know from the case that m and 1 + m > 0 so Now consider the alternative case that m < 0 That means we can replace m with m this time we know 1  m > 0 as m < 0 so If a product is negative then one factor must be + and one must be  so either m > 0 and (m + 1) < 0 but this contradicts the assumption that m < 0 or m < 0 and (m + 1) > 0 which leads to 1 < m < 0 Now to look at number (2). See next post. Hope that helps Bob
fromwodehouse, 