Harder 3u - Inequalities (1 Viewer)

[Aysce]

^ Above is the question.

Although I have a general question:

For inequalities, how do we really know where to start? I'm struggling with the questions in Terry Lee and in their solutions, it uses random inequalities such as x^3 + y^3 + z^3 >= 3xyz. Are we meant to just "know" these or something?

 

[J-Wang]

know how to prove them. if u look in the patel textbook, it has a great explanation, but in general, prove something for a^3+b^3 and then extend it by proving something for b^3 +c^3 etc. it's not too hard

^ Above is the question.

Although I have a general question:

For inequalities, how do we really know where to start? I'm struggling with the questions in Terry Lee and in their solutions, it uses random inequalities such as x^3 + y^3 + z^3 >= 3xyz. Are we meant to just "know" these or something?

 

[Carrotsticks]

Aysce, what restrictions are imposed upon A B and C? Positive integers? Positive reals?

 

[juantheron]