Answer:
24 integers
Explanation:
There are (50 - 4)+1 = 47 integers from 4 to 50 INCLUSIVE.
We find the multiples of 3 and find the multiples of 4 and subtract that from the 47 integers to get INTEGERS that are NEITHER multiple of 3 nor 4.
Let's list multiples of 3 (from 4 to 50 inclusive):
6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48
Multiples of 4 (from 4 to 40 inclusive):
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
From the 2 lists, let's take out the common ones:
THe common ones are 12, 24, 36, 48
We count all from multiples of 3 list, but don't count the common from multiples of 4's list.
So there are 15 multiples of 3, and 8 multiples of 4
In total 15 + 8 = 23 multiples of 3 and 4
So there are 47 - 23 = 24 integers that are NOT multiples of 3 nor 4