Sets Review!

The Complement

100

Which expression means "the complement of A"?

a.  A

b.  A'

c.  A''

d. n(A)

b. A'

200

Given U={3, 6, 9, 12, 15} and a subset B={3, 6}, what is the complement of B?

{9, 12, 15}

300

Given U={red, blue, white} and a subset Q={blue}. what is the complement of Q?

{red, white}

400

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}

500

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}

The Intersection

100

{1, 2, 3, 4, 5} ∩ {5, 6, 7, 8} =

{5}

200

A={2, 4, 6, 8, 10} and B={1, 2, 3, 4, 5, 6}

What is A ∩ B ?

{2, 4, 6}

300

{a, b, c} ∩ {1, 2, 3, 4} =

{  }

400

{L, M, N, O, P} ∩ {H, A, N, D}

{N}

500

Given M={34, 44, 54, 64} and B={56, 44, 78, 34, 21}

What is M ∩ B = ?

{34, 44}

The Union

100

{1, 2} U {3, 4} = 

{1, 2, 3, 4}

200

Given A={30, 40, 50} and B={1, 2, 3, 4, 5}

What is A U B =?

{30, 40, 50, 1, 2, 3, 4, 5}

300

{a, b, c, d} U {c, d, e, f, g} =

{a, b, c, d, e, f, g}

400

{100, 200, 300, 400} U {300, 600, 800} =

{100, 200, 300, 400, 600, 800}

500

Given H={216, 217, 218} and R={33, 44, 217, 23}

what is H U R =

{216, 217, 218, 33, 44, 23}

Number of Elements in Two Sets

100

Given AUB={1, 2, 3, 4}

What is n(AUB)=?

4

200

Given that A ∩ B = {red, yellow, purple, blue}

what is n(A∩B) = ?

4

300

Given that (AUB)' = {30, 40}

what is n(AUB)' = ?

2

400

Given A={11, 22, 33} and B={44, 55, 66}

what is n(AUB)=?

6

500

Given G={3, 4, 5} and F={6} 

what is n(G ∩ F) = ?

0

Mystery

100

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

200

Are these two sets disjoint of intersecting?

{30, 40, 50}  and {60, 70, 80}

DISJOINT!

300

Given A is a subset of B, 

true or false?

A U B = B

True

400

True or False?

A' U B' = (A ∩ B)'

True

500

True or False?

(A U B)' = A' U B'

False