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.