The following graph shows the consumption decisions of a consumer over bundles of x and y, both

Question:

The following graph shows the consumption decisions of a consumer over bundles of x and y, both of which he likes. When faced with budget line BL1, he chose basket A, and when faced with budget line BL2, he chose basket B. If he were to face budget line BL3, what possible set of baskets could he choose in order for his behavior to be consistent with utility maximization?