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18 Questions

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Sets and Subsets Operations Quiz

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Questions and Answers

What does the power set refer to?

Union of two sets

Intersection of two sets

Collection of all subsets of a set (correct)

Complement of a set

Which operation on sets consists of elements that are in set A but not in set B?

Difference (correct)

Union

Intersection

Complement

If A = {1,2,3} and B = {2,3,4}, what is A ∩ B?

{1,3}

{1,2,3,4}

{4}

{2} (correct)

Which set operation is denoted by A'?

Complement Signup and view all the answers

If U = {a,b,c,d} and C = {a,c,d}, what is A ∩ C?

{} Signup and view all the answers

Consider sets A = {2,4,6} and B = {3,6,9}. What is A U B?

{2,3,4,6,9} Signup and view all the answers

What is the additive inverse of 'a'?

-a Signup and view all the answers

How is the product of two functions calculated using the FOIL method?

x³+x²-3x²-3x-4x-4 Signup and view all the answers

Which type of set has no elements?

Empty or Null set Signup and view all the answers

What is the result of summing the functions f(x) = x²-2x-4 and g(x) = x+1?

x²-3x-4 Signup and view all the answers

How is a function quotient calculated using the factor before canceling method?

(x²-4x-5)ff(x+1) Signup and view all the answers

Which notation for sets lists the names of elements, separated by commas and enclosed in brackets?

List Notationff Roster Method Signup and view all the answers

What is a binary operation in mathematics?

A calculation involving two elements of a set to produce another element of the set Signup and view all the answers

Which property states that for addition, $a + e = a$, where $e$ is the identity element?

Identity Property Signup and view all the answers

What does the Closure Property state for a binary operation in mathematics?

$a * b = c$ for all $a$ and $b$ Signup and view all the answers

Which property states that $(ab)c = a(bc)$ holds true?

Associative Property Signup and view all the answers

In mathematics, what is a function?

A rule that pairs each element in one set with exactly one element from a second set Signup and view all the answers

What do ordered pairs represent in mathematics?

Pairs of elements from different sets, indicating relationships between them Signup and view all the answers