Gr 10 Math Ch 11: Union and Intersection
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Questions and Answers

What does the union of two sets represent?

  • All elements from either set (correct)
  • Common elements from both sets
  • Elements that are in both sets
  • Elements that are only in one of the sets

Which notation is used to represent the intersection of two sets?

  • A ∪ B
  • A + B
  • A ∩ B (correct)
  • A - B

If sets A and B have no elements in common, what would the intersection A ∩ B be?

  • All elements from A and B
  • Elements that are only in A
  • The empty set (correct)
  • Elements that are only in B

What would the union of two sets containing elements X, Y in set A and Z in set B yield?

<p>{X, Y, Z} (C)</p> Signup and view all the answers

In the case of complete containment of set B within set A, what are the elements of A ∩ B?

<p>Elements of B (A)</p> Signup and view all the answers

What does the union of two sets A and B represent?

<p>All elements that are in either set A or set B. (C)</p> Signup and view all the answers

In a situation where sets A and B have complete containment, what can be concluded about A ∩ B?

<p>A ∩ B contains all elements present in both sets. (B)</p> Signup and view all the answers

Which of the following correctly describes the result of the intersection of two sets A and B?

<p>A set that includes elements common to both A and B. (D)</p> Signup and view all the answers

What would be the intersection A ∩ B if sets A = {1, 2, 3} and B = {4, 5, 6}?

<p>The empty set. (B)</p> Signup and view all the answers

If sets A = {x, y} and B = {y, z}, what is the union A ∪ B?

<p>The set containing {x, y, z}. (A)</p> Signup and view all the answers

Which statement correctly describes the union of two sets A and B in the case of complete containment?

<p>It includes all elements from both sets A and B. (A)</p> Signup and view all the answers

If two sets A and B are completely overlapping, what can be inferred about their intersection?

<p>The intersection contains all elements in set A and set B. (C)</p> Signup and view all the answers

In a scenario where sets A and B do not overlap at all, which of the following holds true for their union?

<p>The union will contain all elements from both A and B. (B)</p> Signup and view all the answers

Which option incorrectly describes the intersection of two sets A and B with partial overlap?

<p>It may include unique elements from either set. (A), It does not include any elements from either set. (C)</p> Signup and view all the answers

What is the primary distinction between the concepts of union and intersection of two sets?

<p>Union includes all unique elements, while intersection only includes shared elements. (A)</p> Signup and view all the answers

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