Consider the set N of natural numbers and an operation defined in Problem 41. a. Is associative

Question:

Consider the set N of natural numbers and an operationimage defined in Problem 41.

a. Is image associative for N? Give reasons.

b. Is image commutative for N? Give reasons.

Data from Problem 41

Consider the set N of natural numbers and an imageoperation  which means "select the first of the two." That is,

443 = 4; 3 14 = 3; 547= 5; 646=6 Is the set N closed for the operation of ? Give reasons.

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