The "wapple" of a number is defined as the number of positive odd intergers less than that number.
1. what is the wapple of 19?
2.If the wapple of x is equal to 5, what is the wapple of x + 6?
using w(x) for wapple of x,
w(19) = 9 since the odds less than 19 are 1,3,5,7,9,11,13,15,17
between x and x+6 are 3 odd numbers, so
w(x+6) = w(x)+3 = 8
To find the wapple of a number, we need to count the number of positive odd integers that are less than the given number.
1. To find the wapple of 19, we can start by listing all the positive odd numbers that are less than 19: 1, 3, 5, 7, 9, 11, 13, 15, 17.
Counting these numbers, we find that there are 9 positive odd integers less than 19. Therefore, the wapple of 19 is 9.
2. If the wapple of x is equal to 5, we can apply the same logic. The wapple of x indicates the number of positive odd integers less than x.
To find the wapple of x + 6, we need to find the number of positive odd integers less than x + 6.
Since x + 6 is 6 greater than x, all the positive odd integers that are less than x + 6 will also be less than x. Hence, the number of positive odd integers less than x + 6 will be the same as the number of positive odd integers less than x.
Since the wapple of x is 5, the wapple of x + 6 will also be 5.