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Need IN Depth Explanation for each option

  1.  POSET [ A ; <= ]  is
     a) Bounded Lattics
      b) Distributive Lattice 
      c) Complemented Lattice
      d) Boolean Algebra
  2.  POSET [ P(A)  ; $\subseteq$ ]  is
     a) Bounded Lattics
      b) Distributive Lattice 
      c) Complemented Lattice
      d) Boolean Algebra
  3.  POSET [ An ; /]  is
     a) Bounded Lattics
      b) Distributive Lattice 
      c) Complemented Lattice
      d) Boolean Algebra

What I Know 
If I get an proper set I could figer out each option . For Bounded Lattice There has to be a Lower Bound as well as Upper Bound
For Distributed Lattice any sub lattice to be isomorphic to standard L1 * and L2* graphs ( unique complement for each and  atmost one )
For Complemented Lattice every element has atleast one Complement ..

How to Solve general questions like this..?
Need in depth explanation for each option and each question.
Thanks.

 

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