In the set of consecutive integers from 21 to 46 , inclusive, there are 2 integers that are multiples of both 2 and 7. How many integers in the set are mulitples of neither 2 nor 7 ?.

The answer is 11 but
Please show me how to do it

Considering the set:

In order to find the numbers that are not multiples of 2, eliminate the even.

Now eliminate the multiples of 7.

So, you got the 11 numbers.

Note: The multiples of both 2 and 7, are 28 and 42.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x