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Gr 10 Math Ch 11: Union and Intersection

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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?

{X, Y, Z} 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?

Elements of B Signup and view all the answers

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

All elements that are in either set A or set B. Signup and view all the answers

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

A ∩ B contains all elements present in both sets. Signup and view all the answers

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

A set that includes elements common to both A and B. Signup and view all the answers

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

The empty set. Signup and view all the answers

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

The set containing {x, y, z}. Signup and view all the answers

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

It includes all elements from both sets A and B. Signup and view all the answers

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

The intersection contains all elements in set A and set B. 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?

The union will contain all elements from both A and B. Signup and view all the answers

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

It may include unique elements from either set. Signup and view all the answers

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

Union includes all unique elements, while intersection only includes shared elements. Signup and view all the answers