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Problem 10. a. Construct of partition of N with exactly 4 elements and describe the equivalence relation...

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Advance Math

Problem 10.

a. Construct of partition of N with exactly 4 elements anddescribe the equivalence relation defined by your partition.Remember the elements of a partition are sets.

b. Construct of partition of N with infinitely many elements anddescribe the equivalence relation defined by your partition.

c. Construct a partion of the plane with exactly 4 elements anddescribe the equivalence relation defined by your partition.

d. Construct a partion of the plane with infinitely manyelements and describe the equivalence relation defined by yourpartition.

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