I need help with this problem please, and please type I can't read the handwriting.

239 Y \\section* {Problem 3} 240 Let $n\\, \\geq \\, i$, $x$ be a real number, and $x\\, \\geq\\, -1$. {\\bf Prove the following statement using mathematical induction. } 241 \\[(1\\, +\\,x)^n\\; \\geq\\; 1\\, +\\, nx\\] 242 1111 243 %Enter your answer below this comment line. 244 245 \\ newpage