Set Theory & Logical Reasoning

Which is an example of the empty set

• The set of days with 24 hours

• The set of months with less than 32 days

• The set of weeks with 8 days

• The set of years with less than 13 months

Which set is finite?

• {xl x is an even prime number}

• {xl x is a fraction between 15 and 16}

• {xl x is an odd prime number}

• {xl x is a prime number}

Which two sets are disjoint?

• The set of boys and the set of people who like sports.

• The set of cats and the set of animals that slither.

• The set of dogs and the set of animals that can run.

• The set of girls and the set of people who like pie.

Which statement is true? 

• {1, 3, 4, 6} $\subset$ {3, 4, 6}

• {1, 3, 4, 6} $\subset$ {3, 4, 6, 8}

• {1, 3, 4, 6} $\subset$ {1, 3, 4, 5, 7, 9}

• {1, 3, 4, 6} $\subset$ {1, 2, 3, 4, 5, 6}

Given A= {-9, -8, -7, ..., 0}, what is the value of n(A)?

• 1

• 4

• 9

• 10

Tags

CCSS.6.NS.C.6A

If U = {1, 2, 4, 5, a, b, c, d, e}. What is the complement of C = {a, b, d, e, 1, 2, 4, 5}

• $\phi$

• {c}

• {c, 3}

• U

Given A = {2, 3, 7, 9} and B = {0, 1, 2, 4, 7, 8}, which set represents A $\cap$ B 

• {0, 1, 3, 4, 8, 9}

• {0, 1, 2, 3, 4, 7, 8, 9}

• {2, 7}

• {3, 9}

What is the value of n(A $\cap$  B) if n(A) = 6, n(B) = 10 and n(A $\cup$ B) = 12? 

• 2

• 4

• 6

• 16

The Venn Diagram represents the students of Holy heart. B is the Set of Boys and S is the set of students who are on student council. What does the shaded area of this diagram represent?

• The boys who are not on student council.

• The boys who are not on student council.

• The girls who are not on student council.

• The girls who are on student council.

 Let U = {all soft drinks} C = {soft drinks in cans}, and D = {diet soft drinks}. What does the set C $\cap$ D' represent?

• All diet soft drinks in cans.

• All diet soft drinks not in cans.

• All non-diet soft drinks in cans.

• All non-diet soft drinks not in cans.