Without using Venn diagrams, write (A' UNION B)' INTERSECT A' in its simplest form.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Without using Venn diagrams, write (A' UNION B)' INTERSECT A' in its simplest form.
Note: each rule used must be included with each step.

Expert Solution
Definitions:

Definitions:   (a)  AB={x/xA or xB}

                     (b)  AB={x/xA  and  xB}

                     (c)  If  A  B  and B  A  A = B

                     (d)   A  B  if and only if every element in A is an element in B.

Now we will show that   ABA=A by using above definitions.

 

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