Anna and Sarah work at an ice cream stand. If Anna worked three times as many hours as she usually does and Sarah worked twice the number of hours that she usually does, together they would work less than 24 hours. The situation can be modelled by the following linear inequality.

3a + 2s < 24

a) What restrictions does the context of this problem place on the variables? Explain.

b) Graph the solution to this inequality. What does the solution represent? Explain.