1.4 Subsets and Power Sets

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Solved Examples

Let the elements be x=ϕx = \phi and y=1y = 1. So A={x,y}A = \{x, y\}. Subsets are:

  1. ϕ\phi (Null set)
  2. {x}={ϕ}\{x\} = \{\phi\} (Singleton set containing empty set)
  3. {y}={1}\{y\} = \{1\}
  4. {x,y}={ϕ,1}=A\{x, y\} = \{\phi, 1\} = A

Total subsets: 22=42^2 = 4.

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