The Complement
Which expression means "the complement of A"?
a. A
b. A'
c. A''
d. n(A)
b. A'
{1, 2, 3, 4, 5} ∩ {5, 6, 7, 8} =
{5}
{1, 2} U {3, 4} =
{1, 2, 3, 4}
Given AUB={1, 2, 3, 4}
What is n(AUB)=?
4
If two sets have NO elements in common, we call them
a. intersecting sets
b. disjoint sets
c. separate sets
d. enemies
b. disjoint sets
Given U={3, 6, 9, 12, 15} and a subset B={3, 6}, what is the complement of B?
{9, 12, 15}
A={2, 4, 6, 8, 10} and B={1, 2, 3, 4, 5, 6}
What is A ∩ B ?
{2, 4, 6}
What is A U B =?
Given that A ∩ B = {red, yellow, purple, blue}
what is n(A∩B) = ?
4
Are these two sets disjoint of intersecting?
{30, 40, 50} and {60, 70, 80}
DISJOINT!
Given U={red, blue, white} and a subset Q={blue}. what is the complement of Q?
{red, white}
{a, b, c} ∩ {1, 2, 3, 4} =
{ }
{a, b, c, d} U {c, d, e, f, g} =
{a, b, c, d, e, f, g}
Given that (AUB)' = {30, 40}
what is n(AUB)' = ?
Given A is a subset of B,
true or false?
A U B = B
True
Given U={m, a, t, h, e, i, c, s} and its subset R={t}, what is R' ?
{m, a, h, e, i, c, s}
{L, M, N, O, P} ∩ {H, A, N, D}
{N}
{100, 200, 300, 400} U {300, 600, 800} =
{100, 200, 300, 400, 600, 800}
Given A={11, 22, 33} and B={44, 55, 66}
what is n(AUB)=?
6
True or False?
A' U B' = (A ∩ B)'
True
Given that U={5, 10, 15, 20, 25, 30, 35, 40} and the union of two subsets AUB={20, 25, 30} what is the complement of AUB?
{5, 10, 15, 35, 40}
Given M={34, 44, 54, 64} and B={56, 44, 78, 34, 21}
What is M ∩ B = ?
{34, 44}
Given H={216, 217, 218} and R={33, 44, 217, 23}
what is H U R =
{216, 217, 218, 33, 44, 23}
Given G={3, 4, 5} and F={6}
what is n(G ∩ F) = ?
0
True or False?
(A U B)' = A' U B'
False