solve it by PMI method
![solve \: 3^{2 } \leqslant 2 ^{n + 3} \: given \: that \: 2n + 7 \leqslant (n + 3)^{2} solve \: 3^{2 } \leqslant 2 ^{n + 3} \: given \: that \: 2n + 7 \leqslant (n + 3)^{2}](https://tex.z-dn.net/?f=solve+%5C%3A+3%5E%7B2+%7D++%5Cleqslant+2+%5E%7Bn+%2B+3%7D++%5C%3A+given+%5C%3A+that+%5C%3A+2n+%2B+7+%5Cleqslant+%28n+%2B+3%29%5E%7B2%7D+)
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