Answer
He has to sell at least $\$7000$.
Work Step by Step
The following information is given:
Weekly salary: $\$1550$
Commission on sales: $5\%$
Let's define the amount of goods sold by $x$ and total salary by $S$, and write the following formula of income according to sales:
$S=1550+0.05x$
To be able to determine how much the salesperson has to sell, we can write the following inequality:
$1900\le1550+0.05x$
$0.05x\geq 350$
$x\geq 7000$
He has to sell at least $\$7000$