Infer and justify the inference what the components of each

Infer (and justify the inference) what the components of each of the following sets are: {n^2 |n = 1, 2, 3, ---} subsetR; [1, 2] N-ARY UNION [6, 8)] subset R. Let A be an infinite set in the metric space (R. d). where d is defined by d(x, y) = {0 if x = y/1if x notequal y Construct an argument to determine whether A is compact in (R, d). Construct an argument to determine whether.-! is compact in (R d).

Solution

i. Components of set = {1,4,9,16,25......}

ii. [1,2]^[6,8) = empty set { } as there are no common elements