Suppose there is a rock, R. It's weight is known to be 40 lbs. The store owner uses the rock to measure out purchases; in other words, customers bought 40 lbs of an item when making a purchase. He would load the rock on one end of a scale and the food on the other until they are even then the transaction occurs. One day, the clerk drops the rock and it breaks into exactly four distinct pieces (e.g. R= A+B=C+D), At first he thought he was in trouble as he may not have any way to sell his items. But fortunately he found that he can still stack all 40 lbs on the same side of the scale to complete a 40 lb purchase. Additionally, he found that he can now use the various pieces on different sides of the scale to allow for a customer to buy products anywhere from 1 to 40 lbs ultimately bringing in even more customers.

If A>B>C>D >0

prove A-B-C-D > C-D

bonus points if you can explain (warning gives the answer away)...

Why do the elements in the set R follow the pattern of R_{n} = 3^{n }, where R_{n} represents the elements in R and A = R_{0}

Suppose there is a rock, R. It's weight is known to be 40 lbs. The store owner uses the rock to measure out purchases; in other words, customers bought 40 lbs of an item when making a purchase. He would load the rock on one end of a scale and the food on the other until they are even then the transaction occurs. One day, the clerk drops the rock and it breaks into exactly four distinct pieces (e.g. R= A+B=C+D), At first he thought he was in trouble as he may not have any way to sell his items. But fortunately he found that he can still stack all 40 lbs on the same side of the scale to complete a 40 lb purchase. Additionally, he found that he can now use the various pieces on different sides of the scale to allow for a customer to buy products anywhere from 1 to 40 lbs ultimately bringing in even more customers.

If A>B>C>D >0

prove A-B-C-D > C-D

bonus points if you can explain (warning gives the answer away)...

Edited by BMADbonus question.

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