QuestionProve by induction that for $n$ numbers $a_1, a_2, \ldots, a_n$ , $|a_1 + \cdots + a_n| \leq |a_1| + \cdots + |a_n|$ . Also, show $|b| < a$ iff $-a < b < a$ .

Studdy Solution
Therefore, we have shown that $|b|<a$ if and only if $-a<b<a$ .

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