Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Probability

Set Operations

Concept Quizzes

Union and Intersection
Sets - Complement
Sets - Relative Complement
Sets - Symmetric Difference
Sets - Composition of Operations
Sets - Operations on Multiple sets

Challenge Quizzes

Set Operations: Level 1 Challenges
Set Operations: Level 2 Challenges

Set Operations: Level 1 Challenges

What is $|A^{C}\cup B^{C}|$ ?

Details:

$|S|$ represents the cardinality of the set $S$ and $S^C$ represents the complement of the set $S$ .

9 4 5 8

Show explanation

by Chung Kevin

Are you sure you want to view the solution?

Cancel Yes I'm sure

True or False?

$\left|X^C \cup Y^C \cup Z^C\right| = \left|(X \cap Y \cap Z)^C\right|$

True False There isn't enough information

Show explanation

by Zandra Vinegar

Are you sure you want to view the solution?

Cancel Yes I'm sure

True or false:

$\quad$ There exist three nonempty sets $A$ , $B$ , and $C$ such that
$\quad$ $A\cup (B-C)\neq (A\cup B)-(A\cup C)$ .

True False

Show explanation

by Shawn Franchi

Are you sure you want to view the solution?

Cancel Yes I'm sure

In my fridge's shelves there are 10 condiments that are good for breakfasts, 8 that are good for lunch/dinner, and 12 that are good for dessert.

Of all of the condiments, exactly half of those that are good for breakfast are also good for lunch/dinner. And every condiment is either good for desert or good for both lunch/dinner and breakfast.

Given all of this, what is the difference between the maximum number of condiments that I might have in my fridge and minimum number of condiments that I might have in my fridge?

0 Given what we know, there could be infinitely many condiments, so "infinity!" 18 4 5

Show explanation

by Clara Blackstone

Are you sure you want to view the solution?

Cancel Yes I'm sure

If $A$ and $B$ are subsets of $U=\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ such that ${ A }^{ c }\cap { B }^{ { c } }=\{1, 9\}, A\cap B =\{2\}, { A }^{ c }\cap B=\{4, 6, 8\},$ what is the set $A?$

\{2, 3, 5, 7\}

\{3, 4, 9\}

\{1, 2, 6, 7\}

\{5, 8\}

Show explanation

View wiki

by Lawahar Qasid

Are you sure you want to view the solution?

Cancel Yes I'm sure