We know for our problem that Rachel makes $10 per hour. Since represent the number of hours that she works, will be the total amount that she will make for working hours. We also know that she sells bracelets for $5 each. Since represents the number of of bracelets that she sells, will be her total revenue for selling bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of and must be equal or greater than 200:
We can conclude that the graphs that shows the inequality that represents this situation, with its solution region shaded is: