Please help!! True/False preferences/indifference curves?

Question

True or false? **EXPLAIN**

(i)If X is at least as good as Y and Y is at least as good as Z, then X is strictly preferred to Z.

(ii)For three commodity bundles X, Y and Z if X is at least as good as Y, Y is at least as good as X, and X is strictly preferred to Z, then , then Y is strictly preferred to Z.

(iii)We know the value of two of Jill’s indifference curves, U1 and U2. U1 = 5 and U2 = 7. These two indifference curves must cross

Answer 1

i) false, Z could be as good as X

ii) true, Y and X are equally good

iii) false. indifference curve for different U never cross.

if U is same, you get same curve.

indifference curves are like level lines on topographic map.