(c) (AuC)-(AnC) (d) AA C
(e) B A U (f) A A (B A C)
(g) (A A B) A C (h) C - (B - A)
(i) (C - B) - A (j) (C - B) n (C - A)
(k) C-(B u A) (1) A A (B u C)
- Calculate:
(a) A x C (b) C x B
(c) U x B (d) A x U
(e) A x B (f) A x (Bu C)
(g) (A x B) U (A x C) (h) B' x C'
(i) (A n B) x C 0) (A x C) n (B x C)
(k) B x (A - C) (1) (B x A) - (B x C) - Let U = {1,2, 3,... ,9, 101, A = (2, 5, 7,9), B = {5,7), C = {2,9), and D =
{1,4,6, 10). Calculate:
(a) (D - C) - B (b) D - (C - B)
(c) A A D (d) A u D
(e) B u (A - B) (f) A n (B u D')
(C?) (A n B) u D' (h) B u (C - B)
(i) A A C - Let U = R, A = [2,9), B = (0,1], C = [- l,4]. Each of the sets described here
is an interval. Express each in interval notation:
(a) A n C (b) A u C
(c) A n B (d) A u B
(e) (A u B) - C (f) A-C
(gl C - A (h) B n c
(i) B u C *(I) C - A'
(k) B - A (I) B - C
- Let U = R, A = (- a, 61, B = (-3, a), and C = (-4, 1) u (3,7). Calculate:
(a) A n B (b) A u B
(c) A-B (d) A A B
(e) A n C (f) B n C
(g) A U C' (h) (A U C)'
(i) C - A (1) A' n C'
(k) (A n B) n C *(I) (A A B) A C
(m) A n (B A C) (n) A A (B A C)
(0) (A n B) A (A A C)
8.Let U=Z, A={0,5,10,15 ,... ), B=( ..., -10, -5,0), C= {
- 3,0,3,6,9,... f, and D = {45,90, 135, 180,.. .). Calculate:
(a) A n B (b) B n D
(c) D n A' (d) (A u B) n C
(e) (A n C) u (B n C) (f) D - A
(9) [(A u B) n CI nD (h) D n A
(i) (D n A) u (D n A') (i) D n C
(k) D n B' (I) B A D