If M = {x x = 2K + 1, K ∈ Z}, n = {y y = 4N ± 1, n ∈ Z}, try to judge the relationship between M and n

If M = {x x = 2K + 1, K ∈ Z}, n = {y y = 4N ± 1, n ∈ Z}, try to judge the relationship between M and n

For M = {x x = 2K + 1, K ∈ Z}
Classification discussion:
When k is odd, let k = 2m + 1, then x = 2 (2m + 1) + 1 = 4m + 3 = 4 (M + 1) - 1
When k is even, let k = 2m, then x = 4m + 1
(m ∈ Z above)
Therefore, M = n