Question: I dont understand the solution, could you explain it more? (10 points) Let S be a non-empty set. Consider the following two sets: 3 =

I dont understand the solution, could you explain it more?

(10 points) Let S be a non-empty set. Consider the following two sets: 3 = {TCS T is an even integer} O = {TCS| |T| is an odd integer} where IT denotes the cardinality of T. Find a bijection between & and O. Solution: Fix an element s. E S and define the following function f : 8 - : f (T) = TU{so}, if so $T T - {so}, if so ET

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