= (b) More generally, show that if S is an infinite set and {a,b} CS, then...

 

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= (b) More generally, show that if S is an infinite set and {a,b} CS, then |S| |S\{a, b}. (The notation S\ {a, b} is used to denote the set of all s in S such that s is not in {a, b}.) [Hint: Use the fact that S has a countably infinite subset containing a and b.] = (b) More generally, show that if S is an infinite set and {a,b} CS, then |S| |S\{a, b}. (The notation S\ {a, b} is used to denote the set of all s in S such that s is not in {a, b}.) [Hint: Use the fact that S has a countably infinite subset containing a and b.]