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Question Number 181699 by Shrinava last updated on 28/Nov/22

$$\mathrm{Prove}\mathrm{it}\mathrm{by}\mathrm{mathematical}\mathrm{induction}:$$$$\mid \underset{\mathbf{j}=1}{\sum ^{\mathbf{n}}}{\mathrm{x}}_{\mathbf{j}}\mid ⩽\underset{\mathbf{j}=1}{\sum ^{\mathbf{n}}}\sin {\mathrm{x}}_{\mathbf{j}};{\mathrm{x}}_{\mathbf{j}}\in [0,\pi ]$$

Commented by mr W last updated on 28/Nov/22

$$whatif{x}_j=\frac{\pi }{2}?$$$$LHS=n\times \frac{\pi }{2}$$$$RHS=n\times 1=n$$$$LHS>RHS!$$$$\Rightarrow questioniswrong!$$

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