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4.8.  Exercises

1.
Calculate X [cup] Y, X [cap] Y, X \ Y for the following pairs of sets of X and Y:
X            Y
{a, b, c }   { b, c, d }
{b, c, e }   { a, b, d, f }
{b, c, e }   empty set
{b, c, e }   { a, f, h }

2.
For any set A, determine and give an example

A [cup] A
A [cap] A
A \ A

3.
Let A = { x [isin] Nat | 3 < x < 9 }, B = { x [isin] Nat | 5 [lt] x [lt] 9 }.

Calculate

	A [cup]  B
	A [cap]  B
	A \ B
	~ ( ~A )
	~ ( A [cap]  B )
	~ ( A [cup]  B )
	~ ( A \ B )

4.
Let A and B disjoint sets. C = A [cup] B. Calculate:

a) A \ B, B \ A b) C \ A, C \ B
5.
Let A be any set. Show that [cup] Pow(A) = A and [cap] Pow(A) = Ø

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Created by unroff & hp-tools. © by Hans-Peter Bischof. All Rights Reserved (1998).

Last modified: 27/July/98 (12:14)