Sets HL 2nd Year Maths

1. If A = {1,2,3}, B = {3,4,5}, C = {5,6,7}, find A U B U C.

• {1,2,3,4,5,6,7}

• {1,2,3,4,5,6,7,8}

• {1,2,3,3,4,5,5,6,7}

• {3,4,5}

2. If A= {10,20,30,40},B={20,40,60} and C = {10,20,40,60,80}, find A Ո B Ո C

• {20,40,60}

• {10,20,40}

• {20,40}

• {20}

List the elements in the set A.

• {5, 9}

• {2, 3}

• {2, 3 ,5 ,9}

• {1, 2, 3, 4, 5}

List the elements of A Ո B

• {2,3,5,9,7,6,8}

• {2,3,7,6,8}

• {1,4}

• {5, 9}

For the given sets A and B, which statement is true?

• A ⊂ B (subset)

• B ⊂ A (subset)

• A = B

• A^' = B

List the elements of (A U B)'

• {5,9}

• {5,9, 7, 8}

• {1, 4}

• {1,4, 2, 3}

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

• {2,3,5}

• U

• {7,11,13}

• {7,9,11,13}

What type of set is denoted as either { } or ∅? (select more than one answer if you need to)

• Empty Set

• Disjoint Set

• Null Set

• Cardinal Number

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

Draw a Venn Diagram to help.

• {4}

• {4, 6}

• {4, 6, 8}

• {1, 2, 3, 4, 6, 8}

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

NB: Draw a Venn Diagram to help if you need to.

• {2}

• {2,3,5}

• {1,2,3}

• {1,3,5}