2000(1.02)n-1> 2000 + (n-1)50
n > 4001/2040
Go online to this link and see the accurate solution to your inequality:
https://www.symbolab.com/solver/inequalities-calculator/2000%5Cleft(1.020%5Cright)N-1%3E2000%2B%5Cleft(N-1%5Cright)50
