Bunuel wrote:
If y is an integer, then the least possible value of |23 - 5y| is
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
First, make sure we understand what it's asking for — "
the least possible value of |23 - 5y|"
In general, it can be helpful to visualize |A - B| as "the distance between A and B on a number line". Therefore, our next step is to figure out the value of "5y" that is closest to "23" (see below for illustration).
Also, note that the absolute value cannot be negative. So, we are looking for the value of |23 - 5y| that is closest to zero.
We could make a full table, but the easiest way is to think of multiples of 5 that are closest to 23 ("5y" must be a multiple of 5, since y is an integer).
What happens if we plug in "20" and "25" for the "5y"?
|23 - 20| = 3
|23 - 25| = |-2| =
2Key Habit for Trap Avoidance: We must always
read carefully and double-check what it's asking for before confirming our answer. 18% of people get trapped by "E" on this question, because the correct value for "y" is indeed "5". However, the question asks for "the least possible value of |23 - 5y|".
Attachments
2021-11-11 20_24_13-Number line diagram - OneNote.png [ 36.37 KiB | Viewed 603 times ]
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