Math 12 - Set Theory & Logic Quiz

What is the meaning of disjoint in set theory?

• two or more sets having no elements in common

• two or more sets that do not match

• sets that are in different universal sets

• sets that contain no elements

What is the universal set?

• a set with an infinite number of elements

• a set of all the elements under consideration for a particular context

• a set with a countable number of elements

• a set that contains every possible element

Which statement is false?

• Trigonometry is a subset of mathematics.

• The cities in Ontario are a subset of the cities in Canada.

• Carrots are a subset of vegetables.

• Birds are a subset of mammals.

Consider the following Venn diagram of herbivores and carnivores: Determine H $\cup$  C.

• {mouse, rabbit, deer, squirrel}

• {bear, raccoon, badger}

• {cougar, wolf}

• {moose, rabbit, deer, squirrel, bear, raccoon, badger, cougar, wolf}

Tags

CCSS.HSS.CP.A.1

Consider the following Venn diagram of foods we eat raw or cooked: Determine n(H $\cap$  C)

• 2

• 3

• 5

• 11

Tags

CCSS.HSS.CP.A.1

Which question is written as a conditional statement?

• You can fool some of the people some of the time but you can't fool me.

• If you are a farmer, then you live in the country.

• If you can't beat them, join them.

• You get wet if you stand in the rain.

Which sentence is the converse to the conditional statement below? "If students are in school, then it is a weekday."

• If it is a weekday, then students are in school.

• If it is not a weekday, then students are not in school.

• During the week, students are in school.

• Students go to school on weekdays.

Which statement is the inverse of the conditional statement below? "If a bird has wings, then the bird can fly."

• If a bird does not have wings, then the bird cannot fly.

• If the bird cannot fly, then the bird does not have wings.

• If a bird can fly, then the bird has wings.

• If a bird does not have wings, then the bird can fly.

Which statement is the contrapositive of the conditional statement below? "If tomorrow is Monday, then today is Sunday."

• If tomorrow is Sunday, then today is not Monday.

• If today is Sunday, then tomorrow is Monday.

• If tomorrow is not Monday, then today is not Sunday.

• If today is not Sunday, then tomorrow is not Monday.

Tags

CCSS.HSS.CP.A.3

Consider the following two sets:
C = {-10, -8, -6, -4, -2, 0, 2, 4, , 6, 8, 10}
B = {-9, -6, -3, 0, 3, 6, 9, 12}
Determine n(C $\cap$  B).

• 3

• 8

• 11

• 19

Tags

CCSS.HSS.CP.A.1