Question

Prove algebraically that |w+z|<=|w|+|z| for any complex numbers w and z.

Hint:
look up triangle inequality.
Basically, it says that the sum of the lengths of any two sides of a triangle is greater than or equal to the length of the third side.

Related Questions

If a and b are positive integers, prove that: ab = gcd(a,b)*lcm(a,b). Can visualize this being... Prove algebraically that y=x^2-4 is symmetric with the y-axis. Please help! Thanks prove (a) A(+B)=AB & (b) A+B=A+B both algebraically and using the truth table. Prove algebraically that the difference between any two different odd numbers is an even number....