Triangle Inequality and Pseudometric
The problem statement, all variables and given/known data
where a>0, b>0, c>0 and
Show whether exhibits Triangle inequality?
(M4) (for all x,y and z in X)
The attempt at a solution
I started my solution by solving by squaring the both sides of the equation separately.
I am tending to think it does not satisfy the triangle inequality any other simple way to prove it? Also is this a pseudometric? if it does not satisfy the triangle inequality?