Given nonempty subsets A and B of positive real numbers, define A) Show that sup(A B) = (sup A)(sup B).
B) Show that
C) Show that, if A and B are bounded subsets of real numbers, then sup (A - B) = max {(sup A)(sup B), (sup A)(inf B), (inf A)(sup B), (inf A)(inf B)}.
D) Give an example of two nonempty bounded sets A and B for which sup(A B) (sup A)(sup B)

Marco has $38.43 dollars in his checking account. his checking account is linked to his amazon music account so he can buy music. the songs he purchases cost $1.29. part 1: write an expression to describe the amount of money in his checking account in relationship to the number of songs he purchases. part 2: describe what the variable represents in this situation.