Sets

Hi, I am struggling with the question below (part b). Not sure how to go about it. Any help would be appreciated. Thanks.

3. (a) Use the predicate method of defining sets to define the set S whose elements are the integers not divisible by 4. (b) Show that S is not equal to T = {x | x = 4n + 1 for some n ∈ Z}.

Original post by h26

Hi, I am struggling with the question below (part b). Not sure how to go about it. Any help would be appreciated. Thanks.

3. (a) Use the predicate method of defining sets to define the set S whose elements are the integers not divisible by 4. (b) Show that S is not equal to T = {x | x = 4n + 1 for some n ∈ Z}.