If x1, x2,….., xn are positive numbers and n is a natural number, how do you prove that

(1+ x1)(1+ x2)…..(1+ xn) >= 1+ x1+ x2+…..+ xn

The only thing I can think of here is that ∏(1+xi) - ∑ xi >=1 , where i goes from 1 to n

Is induction required here?