Prove that a/b + 1/b + 1/c > 9 if a + b + c = 1

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[tex]a>0, b>0, c>0 a+b+c=1[/tex], prove that [tex]\frac{a}{b}+\frac{1}{b}+\frac{1}{c} \ge 9[/tex]

im stuck please help