If the a choice structure (B, C(·)) satisfies the weak axiom of revealed preference and B includes all subsets of the choice set X up to three elements, then there is a rational preference relation ≥ such that C(B) = C∗(B, ) for all B ∈ B where C∗(B, ≥) = {x ∈ B : x ≥ y for every y ∈ B}.
True or False?

What is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40

Arianna is buying plants for her garden. she buys 15 flowering plants for $96. pink flowering plants sell for $8, and purple flowering plants sell for $5. how many pink flowering plants did arianna buy? i figured out the answer! the answer is 7. 8x +5y = 96 plug in 7 for x 8 (7) + 5y = 96 56 + 5y = 96 subtract 56 from both sides 5y/y = 40/5 y = 8 she bought 7 pink and 8 purple plants

What is the solution of the systems of equations? y=2/3x+3 x=-2