please solve

Suppose that (P, I) is a rational preference on X, and that C and D are two non-empty subsets of X (i.e., C C X and D C X) such that D C C. Q8.1 0.25 Points If b is a P-maximal element of C, then b is an P-maximal element of D. O True O False Save Answer Q8.2 0.25 Points If b is a P-maximal element of D, then b is an P-maximal element of C. True O False Q8.3 0.25 Points If a is a P-maximal element of C and a E D, then a is an P-maximal element of D. O True O False Save Answer Q8.4 0.25 Points If a is a P-maximal element of D and a E C, then a is an P-maximal element of C. O True O False