If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q

  • A {6}
  • B {7}
  • C {6,7}
  • D {5,6}
jamb 2014mathematics

The correct answer is C. {6,7}

Given that \(P = \{1, 2, 3, 4, 5\}\) and \(P \cup Q = \{1, 2, 3, 4, 5, 6, 7\}\), we want to determine the elements in set \(Q\).

Set union (\(\cup\)) combines the elements of two sets without duplication. To find the elements in set \(Q\), we need to identify the elements that are in \(P \cup Q\) but not in \(P\).

Elements in \(P \cup Q\) but not in \(P\) are:

\(\{6, 7\}\)

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