Please give me the way the form two students solve It

Mathematics

ScanSolve AI Answer

Answers

3 parts
iii

{2,3,4,5,6,7,8,9}\{2, 3, 4, 5, 6, 7, 8, 9\}

iv

{4,9}\{4, 9\}

v

{1,2,3,4,5,7,9,16,25,36}\{1, 2, 3, 4, 5, 7, 9, 16, 25, 36\}

Step-by-step solution

6 steps

Okay, let's re-solve the problem, focusing on how a Form Two student might approach it, with clear, direct steps.

First, let's list the given sets:
A={2,3,5,7}A = \{2, 3, 5, 7\}
B={2,3,4,5,6,7,8,9}B = \{2, 3, 4, 5, 6, 7, 8, 9\}
C={1,4,9,16,25,36}C = \{1, 4, 9, 16, 25, 36\}

Part iii· 2 steps

Find A∪BA \cup B.

  1. List the elements of set A and set B.

    A={2,3,5,7}A = \{2, 3, 5, 7\}
    B={2,3,4,5,6,7,8,9}B = \{2, 3, 4, 5, 6, 7, 8, 9\}

  2. Combine all unique elements from both sets to find their union.

    The union includes all elements that are in A, or in B, or in both.

    A∪B={2,3,4,5,6,7,8,9}A \cup B = \{2, 3, 4, 5, 6, 7, 8, 9\}

    The union of A and B is {2,3,4,5,6,7,8,9}\boxed{\{2, 3, 4, 5, 6, 7, 8, 9\}}.

Part iv

{4,9}\{4, 9\}

Find (A∪B)∩C(A \cup B) \cap C.

  1. Recall the elements of A∪BA \cup B from the previous part, and list the elements of CC.

    A∪B={2,3,4,5,6,7,8,9}A \cup B = \{2, 3, 4, 5, 6, 7, 8, 9\}
    C={1,4,9,16,25,36}C = \{1, 4, 9, 16, 25, 36\}

  2. Find the elements that are present in both A∪BA \cup B and CC.

    This is the intersection.

    (A∪B)∩C={4,9}(A \cup B) \cap C = \{4, 9\}

    The intersection is {4,9}\boxed{\{4, 9\}}.

Part v

{1,2,3,4,5,7,9,16,25,36}\{1, 2, 3, 4, 5, 7, 9, 16, 25, 36\}

Find (A∩B)∪C(A \cap B) \cup C.

  1. First, find the elements that are common to both set A and set B (A∩BA \cap B).

    A={2,3,5,7}A = \{2, 3, 5, 7\}
    B={2,3,4,5,6,7,8,9}B = \{2, 3, 4, 5, 6, 7, 8, 9\}

    A∩B={2,3,5,7}A \cap B = \{2, 3, 5, 7\}
  2. Now, combine all unique elements from the result of A∩BA \cap B and set C to find their union.

    A∩B={2,3,5,7}A \cap B = \{2, 3, 5, 7\}
    C={1,4,9,16,25,36}C = \{1, 4, 9, 16, 25, 36\}

    (A∩B)∪C={1,2,3,4,5,7,9,16,25,36}(A \cap B) \cup C = \{1, 2, 3, 4, 5, 7, 9, 16, 25, 36\}

    The union is {1,2,3,4,5,7,9,16,25,36}\boxed{\{1, 2, 3, 4, 5, 7, 9, 16, 25, 36\}}.

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