For each positive integer n, consider the closed interval [ Similarly, consider the open intervals (a) If N is a positive integer, express the set as an interval. (b) Let us define Cn := as an interval. (d) Define the set Dn:=(-n,n). C₂C₂C₂n...n CN How many different elements belong to C? Sidenote: This is how we can define intersection for infinitely many sets. (c) If N is a positive integer, express the set D₁ UD₂U...UDN C:= {r € R: for each positive integer n, z € C₂}. D:= {TER:r € D₁, for some n € N}. Describe in an alternative way the set R \ D. Sidenote: This is how we can define the union of infinitely many sets.

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