Q14B. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x ∈ Z: x is odd} D = {x ∈ Z: x is positive} Find A ∩ C.  *Express the set using roster notation and with values ordered smallest to largest, such as {-10, -3, 1, 6} (braces and commas are required; a space after each comma is also required).

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q14B. Define the sets A, B, C, and D as follows:

  • A = {-3, 1, 6, 7, 10}
  • B = {-10, -5, 1, 4, 6}
  • C = {x ∈ Z: x is odd}
  • D = {x ∈ Z: x is positive}

Find A ∩ C. 

*Express the set using roster notation and with values ordered smallest to largest, such as {-10, -3, 1, 6} (braces and commas are required; a space after each comma is also required).

 

 

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Intersection of sets:

The largest set containing all the elements shared by X and Y is the intersection of two given sets, let's say X and Y. The intersection of two sets can be an empty set, meaning that there are no elements in the intersection set, or it can be a set containing at least one element.

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