Discussion
| 102. | Column A | x and y are positive | Column B |
| |  | |  |
| (A) | Column A is larger |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 11/27/2015 23:33
First, 0 is considered a positive integer too so this would make side B is not indicated that x and y are nonzero. Second question, what is x and y were positive fractions e.g. taking both at 1/16? Would this make side B greater too?
Posted: 11/28/2015 01:35
Hi John,
Zero is neither positive nor negative. It is the number that divides the number line into positive and negative numbers: all numbers to the right of 0 are positive and all numbers to the left are negative.
If x = 1/16, then (sq. root 1/16) + (q. root 1/16) = 1/4 + 1/4 = 1/2.
And sq. root (1/16 + 1/16) = sq. root (2/16) = sq. root (1/8) = (1/2)(1/sq. root 2), which is smaller than 1/2. (see attached file for this solution with mathematical formatting)
Nova Press
Zero is neither positive nor negative. It is the number that divides the number line into positive and negative numbers: all numbers to the right of 0 are positive and all numbers to the left are negative.
If x = 1/16, then (sq. root 1/16) + (q. root 1/16) = 1/4 + 1/4 = 1/2.
And sq. root (1/16 + 1/16) = sq. root (2/16) = sq. root (1/8) = (1/2)(1/sq. root 2), which is smaller than 1/2. (see attached file for this solution with mathematical formatting)
Nova Press