a) prove | |x| - |y| | <= | x - y |
b) prove If | x-y | < c, then |x| < |y| + c
c) prove If | x-y | < e for all e>0, then x = y
d) X1....Xn are real numbers prove |X1 = X2 + ... + Xn| <= |X1| + |X2| + ..... + |Xn|
I follow problem one of what you did really well. I am confused on 3
what is x<>y....does this just mean x = y, also why are you letting e = |x-y|, doesnt it say e is less than that....I know I am completely wrong because you have been right ever since you have started helping me. Maybe if you could explain it I would understand
Should these questions be easier for me to answer? I mean you guys come up with the solutions really quickly and I spend hours without even figure out how to do it. But I am at the average as far as grades for the course so I guess im not the only one struggling in the class.