Class 11 Maths Sets Super Set

 Super Set:

 Let A and B be two sets. If A ⊂ B and A ≠ B , B is called superset of A.

  1. The set Q of rational numbers is a subset of the set R of real numbers. We write Q R
  2. Let A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. Then A ⊂ B and B ⊂ A and hence A = B.
  3. Let A = { a, e, i, o, u} and B = { a, b, c, d}. Then A is not a subset of B, also B is not a subset of A.
  4. Let A={1,2,3,4} and B={1,2,3,4,5,6}, then A is subset of B, and B is super set of A.
  5. Some relation in well defined sets: N ⊂ Z ⊂ Q ⊂ R

N :{ 1, 2, 3, 4, 5…}                                              Natural number

 Z:  (-7, -6, -5, 1, 4, 5, ..}                                  Integers

 Q: { 1.2, 1.3, 1.5, 2.2 ..}                                  Rational Numbers

 R: {pie, 1, 3..}                                                    Real Number

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