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In: Advanced Math

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

Problem 10.

a. Construct of partition of N with exactly 4 elements and describe 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 and describe the equivalence relation defined by your partition.

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

d. Construct a partion of the plane with infinitely many elements and describe the equivalence relation defined by your partition.

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