Question

1. Let the universal set U and the sets A, B and C be given by
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
A = {x : 2x + 15 = 11 + 3x, x ∈ R}
B = {x : x ≥ 10, x ∈ U}
C = {1, 3, 12, 14, 15}.
(a) list the elements of A and B.
(b) Find
(i) Ac
(ii) Ac ∩ Bc
(iii) (A − B) ∪ (A − C)
(iv) Bc ∪ (A ∩ C)
c
(c) Illustrate the sets U, A, B and C on a Venn

Answer 1

A = {2}
B = {10,11,12,13,14,15}
Now see what you can do on the others. Post your work if you get stuck.