We read your photo as:

Given sets A = 3, 4, 5, 6 and B = 3, 5, 7, 9, 11, find the union and intersection of A and B.

Mathematics

ScanSolve AI Answer

Answer

A∪B={3,4,5,6,7,9,11}A \cup B = \{3, 4, 5, 6, 7, 9, 11\}

A∩B={3,5}A \cap B = \{3, 5\}

Step-by-step solution

3 steps
  1. Identify the given sets.

    A={3,4,5,6}A = \{3, 4, 5, 6\} B={3,5,7,9,11}B = \{3, 5, 7, 9, 11\}
  2. Find the union of sets AA and BB, denoted as A∪BA \cup B.

    The union includes all unique elements from both sets.

    A∪B={3,4,5,6,7,9,11}A \cup B = \{3, 4, 5, 6, 7, 9, 11\}
  3. Find the intersection of sets AA and BB, denoted as A∩BA \cap B.

    The intersection includes only the elements common to both sets.

    A∩B={3,5}A \cap B = \{3, 5\}

    The union of A and B is:

    A∪B={3,4,5,6,7,9,11}\boxed{A \cup B = \{3, 4, 5, 6, 7, 9, 11\}}

    The intersection of A and B is:

    A∩B={3,5}\boxed{A \cap B = \{3, 5\}}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question