Jadahhh1008 Jadahhh1008
  • 03-10-2019
  • Mathematics
contestada

For A = {a,b}, determine A x P(A).

Respuesta :

steffaniasierrag
steffaniasierrag steffaniasierrag
  • 06-10-2019

Answer:

Since A={a,b}, then [tex]P(A)=\{\emptyset, \{a,b\}, \{a\}, \{b\}\}[/tex]. Remember that the Cartesian Product of two sets A, B is defined by

[tex]A\times B=\{(x,y): x\in A \text{ and } y\in B\}[/tex]. Then

[tex]A\times P(A)=\{(a,\emptyset),(a,\{a,b\}),(a,\{a\}), (a,\{b\}), (b,\emptyset),(b,\{a,b\}),(b,\{a\}), (b,\{b\})\}[/tex]

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