SUPPLEMENTARY SHEET 1 - UNION, INTERSECTION, COMPLEMENTS

ELEMENTARY ALGEBRA
MAT 0024
Prof. Howard Sorkin

SUPPLEMENTARY SHEET 1
UNION, INTERSECTION, COMPLEMENTS

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Links to videos explaining how to work out each problem are at the bottom of this web page.

1. Given:

= {1, 2, 3, 4, 5, 6, 7, 8}
A = {1, 2, 4, 5, 8}
B = {2, 3, 4, 6}

Find:

a) AB	e) (AB)'
b) AB	f) (AB)(AB)'
c) B'	g) (AB)'B
d) A'B'	h) A'(AB)
	i) (BA)'(B'A')

3. For each of the following
     determine whether the
     answer is f , A or

a) AA'	d) A'
b) AA'	e) Af
c) Af	f) A

2. Given:

= {a, b, c, d, e, f, g, h, i, j, k}
A = {a, c, f, g, i}
B = {b, c, d, f, g}
C = {a, b, f, i, j}

Find:

a) AC	e) (AC) B
b) BC	f) A'(BC)
c) A'	g) A(CB)'
d) A'B	h) A(C'B')
	i) (CB)(A'B)

4. Given:

= {0, 1, 2, 3, 4, 5,...}
A = {1, 2, 3, 4,...}
B = {4, 8, 12, 16,...}
C = {2, 4, 6, 8,...}

Find:

a) AB	e) AC
b) AB	f) A'C
c) BC	g) B'C
d) BC	h) (BC)'C
	i) (AC)B'

Answers:

1.	a) {1, 2, 3, 4, 5, 6, 8} b) {2, 4} c) {1, 5, 7, 8} d) {7} e) {7} f) f g) f h) {2, 3, 4, 6, 7} i) {7}	2.	a) {a, f, i} b) {a, b, c, d, f, g, i, j} c) {b, d, e, h, j, k} d) {b, c, d, e, f, g, h, j, k} e) {a, b, c, d, f, g, i} f) {b} g) {a, c, d, e, f, g, h, i, j, k} h) {a, c, d, e, f, g, h, i, j, k} i) {b}
3.	a) b) f c) A d) e) f f)	4.	a) A b) B c) B d) C e) C f) f g) {2, 6, 10, 14, 18,...} h) i) {2, 6, 10, 14, 18,...}