I have a minor quibble I want to iron out. The problem is from OG pg. 312 #72
Is x > y ?
(1) x = y + 2
(2) x/2= y - 1
Correct answer is a
My question is approaching the second statement from a mathematically conceptual approach.
x/2= y-1 is also:
x= 2y-2
This means that x is a number that is 2 less than twice the value of y. Therefore, we don't have enough information to answer the question because it doesn't provide any direct relationship strictly between x and y.
On the other hand for the first statement, x will always be two greater than y. Thus, x has to be always greater than y no matter what the number x is. If we are never given any direct relationship between x and y, then it is impossible to conclude one is greater than the other. Is my reasoning valid?
Is x > y ?
(1) x = y + 2
(2) x/2= y - 1
Correct answer is a
My question is approaching the second statement from a mathematically conceptual approach.
x/2= y-1 is also:
x= 2y-2
This means that x is a number that is 2 less than twice the value of y. Therefore, we don't have enough information to answer the question because it doesn't provide any direct relationship strictly between x and y.
On the other hand for the first statement, x will always be two greater than y. Thus, x has to be always greater than y no matter what the number x is. If we are never given any direct relationship between x and y, then it is impossible to conclude one is greater than the other. Is my reasoning valid?
