Final answer:
The system of inequalities for Tim's store's tea stock needs is g ≥ 9 for green tea and b ≥ 12 for black tea, where g is the amount of green tea and b is the amount of black tea required.
Step-by-step explanation:
The system of inequalities that represents Tim's store needs for tea can be defined by two inequalities. These inequalities must account for the minimum requirements of the amounts of black and green tea Tim needs to replenish his stock.
The first inequality represents the green tea requirement. Since he needs at least 9 more pounds of green tea, the inequality would be g ≥ 9, where g represents the amount of green tea.
The second inequality represents the black tea requirement. Since he needs at least 12 pounds of black tea, the inequality would be b ≥ 12, where b represents the amount of black tea.
To summarize, the system of inequalities is:
- g ≥ 9 (at least 9 pounds of green tea)
- b ≥ 12 (at least 12 pounds of black tea)