Answer:
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
Step-by-step explanation:
At first we need to find which integers between 27 and 53 are divisible by 6, which are, respectively:
[tex]A =\{30, 36, 42, 48\}[/tex]
All integers that have a remainder of 4 divided by 6 are found by summing 4 to each element of A, that is:
[tex]A' = \{34,40,46, 52\}[/tex]
There are 4 integers between 27 and 53 that have a remainder of 4 divided by 6.
