The sets a,b,c and 1,2,3 are disjoint and equivalent sets
Answers
P = {a,b,c}
Q = {1,2,3}
Yes! Here A & B are disjoint sets as well as equivalent too. We can represent equivalency as follows.. Equivalent sets are the sets with the same cardinal number.
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Concept:
Two sets are disjoint, if they have no element in common. Set A and set B are disjoint since there is no common element in them.
Equivalent sets have different elements but have the same amount number of elements.
Given:
Two sets S={a,b,c,} and P={1,2,3}
To find:
We need to find the possible values of a, b, c
Solution:
Now, we know what a disjoint set means therefore
a ∈ I-{1}
b ∈ I-{2}
c ∈ I-{3}
Therefore any numbers that satisfies the above equation are the values of a, b and c
Also since number of sets in Number of elements in S and P are same therefore they are equivalent sets.