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'?

<p>Complement (B)</p> Signup and view all the answers

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

<p>{} (C)</p> Signup and view all the answers

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

<p>{2,3,4,6,9} (C)</p> Signup and view all the answers

What is the additive inverse of 'a'?

<p>-a (A)</p> Signup and view all the answers

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

<p>x³+x²-3x²-3x-4x-4 (D)</p> Signup and view all the answers

Which type of set has no elements?

<p>Empty or Null set (C)</p> Signup and view all the answers

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

<p>x²-3x-4 (B)</p> Signup and view all the answers

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

<p>(x²-4x-5)ff(x+1) (B)</p> Signup and view all the answers

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

<p>List Notationff Roster Method (D)</p> Signup and view all the answers

What is a binary operation in mathematics?

<p>A calculation involving two elements of a set to produce another element of the set (D)</p> Signup and view all the answers

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

<p>Identity Property (C)</p> Signup and view all the answers

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

<p>$a * b = c$ for all $a$ and $b$ (A)</p> Signup and view all the answers

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

<p>Associative Property (D)</p> Signup and view all the answers

In mathematics, what is a function?

<p>A rule that pairs each element in one set with exactly one element from a second set (D)</p> Signup and view all the answers

What do ordered pairs represent in mathematics?

<p>Pairs of elements from different sets, indicating relationships between them (C)</p> Signup and view all the answers

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