Mathematical Structures - Set Difference - Spring 2006 | MAT 300, Assignments of Mathematics

Material Type: Assignment; Class: Mathematical Structures; Subject: Mathematics; University: Arizona State University - Tempe; Term: Spring 2006;

Typology: Assignments

Pre 2010

Uploaded on 09/02/2009

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In Class Activity
MAT 300, Spring 2006
February 16, 2006
Set Difference
In class on Tuesday each group described the set difference of A and B in terms
of intersections and unions. We put the following sets on the board as equivalent to A\B:
'
B
A
)'( BAA
')( BBA
)''( BA
Pick two of these sets and prove they are equal.
Try to prove the equality in more than one way.

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In Class Activity MAT 300, Spring 2006 February 16, 2006

Set Difference

In class on Tuesday each group described the set difference of A and B in terms of intersections and unions. We put the following sets on the board as equivalent to A\B:

  • AB '
  • A ∩( AB )'
  • ( AB )∩ B '
  • ( A ' ∪ B )'

Pick two of these sets and prove they are equal.

Try to prove the equality in more than one way.