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Let A={10,11,12,13,14}A = \{10, 11, 12, 13, 14\} and B={−13,13}B = \{-13, 13\}. What is A∩BA \cap B?\newlineChoices:\newline(A){13}\{13\}\newline(B){−13,10,11,12,13,14}\{-13, 10, 11, 12, 13, 14\}\newline(C){−13,14}\{-13, 14\}\newline(D){10,12,13,14}\{10, 12, 13, 14\}

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Write variable expressions for arithmetic sequencesright chevron icon

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Q. Let A={10,11,12,13,14}A = \{10, 11, 12, 13, 14\} and B={−13,13}B = \{-13, 13\}. What is A∩BA \cap B?\newlineChoices:\newline(A){13}\{13\}\newline(B){−13,10,11,12,13,14}\{-13, 10, 11, 12, 13, 14\}\newline(C){−13,14}\{-13, 14\}\newline(D){10,12,13,14}\{10, 12, 13, 14\}
  1. Define Sets AA and BB: Define the sets AA and BB.\newlineSet A={10,11,12,13,14}A = \{10, 11, 12, 13, 14\}\newlineSet B={−13,13}B = \{-13, 13\}\newlineWe need to find the intersection of sets AA and BB, which is the set of elements that are common to both AA and BB.
  2. Find Common Elements: Find the common elements in sets AA and BB. Looking at both sets, we can see that the number 1313 is the only element that appears in both sets AA and BB.
  3. Write Intersection: Write the intersection of sets AA and BB. The intersection of sets AA and BB, denoted by A∩BA \cap B, is {13}\{13\}.
  4. Match with Choices: Match the result with the given choices.\newlineThe intersection we found is 13{13}, which corresponds to choice (A)(A).

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