If y is an integer, then the least possible value of |23 - 8y| is
Choose the correct answer:
A) 5
B) 2
C) 3
D) 4
E) 1
We know that 8y is a multiple of 8, so let’s first look at the multiples of 8 closest to 23. We have “16” and “24”. Let’s subtract both of these from 23 and see which one produces the smallest result. When 2y = 16, y is 2 and when 3y = 24, y is 5. Let’s start with letting y = 4.   |23-8(2)|   |23-16|   |7| = 7   Next, let’s let y equal 3.   |23-8(3)|   |23-24|   |-1| = 1   We see that the smallest possible value of |23-8y| is 1.   Answer 1.
<result>E</result>
If y is an integer, then the least possible value of |23 - 8y| is