X1....Xn are real numbers prove |X1 = X2 + ... + Xn| <= |X1| + |X2| + ..... + |Xn|
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Originally Posted by luckyc1423 X1....Xn are real numbers prove |X1 = X2 + ... + Xn| <= |X1| + |X2| + ..... + |Xn| Use the fact, |a+b|<=|a|+|b|. Say you have 3 (for simplicity sake). |x1+x2+x3|=|(x1+x2)+x3|<=|x1+x2|+|x3|<=|x1|+|x2|+| x3| Same argument for n>3. (You can use induction).
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