4.10.  Exercises

1.

Which of the following propositions are true?
S = { 2, x, 3, 4, 1 }
R = { a, x 2, 1 }

a) a   S	b) x   S
c) b   R	d) Ø   R
e) S   R	f) S   R
g) R   S	h) R   S

2.

Find the union, the intersection, and the set differences of A and B, where
A = { 1, 3, 4, 5, 99 } and
B = { 1, c, 99, daddy }

3.

Draw a Venn diagram for two sets A and B. Find

a) A   B	b) A   B
c) A   ~B	d) A   ~B
e) ~ (A   B )	f) ~ (A   B )

4.

Simplify: ( ~(A ~ (B C ) ~A ~( B C ) A ) )

5.

Draw a Venn diagram for two sets A and B. Find

a) ~B	b) ~ ( A   B )
c) B \ ~A	d) ~A   B
e) ~A   B	f) ~B   A
g) ( ~A   B )   C	h) ~B   A   C
e) ( B \ ~A )   ~C	i) ( ~A   B )   C

6.

Draw Venn diagrams showing that:

a) ( A \ B ) \ C = ( A \ C ) \ ( B \ C )
b) A   ( ~A   B ) = A   B
c) A   ( ~A   B ) = A   B
d) B   C. Show that A   B   A   C
e) B   C. Show that A   B   A   C

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