This is one question with a couple parts i am extremely confused and it would be amazing if you could show

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

  |n -11|

Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

__

b) The equation resolves to two:

Adding 11 to both sides of both equations gives ...

The two solutions are n=6 and n=16.

Comment on the question statement

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."