Part 1.
Let x be the number of bags. Since each bag has 6 items then there are 6x items in total. Now, since a custumer buys no more than 72 items, we can write this statement as

Therefore, the answer is:

Part 2.
Now, we need to solve this inequality. Then, by dividing both side by 6, we have

which gives

Therefore, the answer is option 2 from top to bottom. This means that Coreys uses at most 12 bags