# Prove by principle of mathematical induction that (1+x)n>-1+n+x

Please find below the solution to the asked query:

$\mathrm{Your}\mathrm{question}\mathrm{is}\mathrm{unclear}.\mathrm{So}\mathrm{I}\mathrm{assume}\mathrm{it}\mathrm{is}:\phantom{\rule{0ex}{0ex}}\mathrm{Prove}\mathrm{that}:{\left(1+\mathrm{x}\right)}^{\mathrm{n}}\ge \left(1+\mathrm{nx}\right)\mathrm{for}\mathrm{n}\in \mathrm{N}\phantom{\rule{0ex}{0ex}}$

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