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Given sets P = 2, 4, 6, 8, 10 and Q = 4, 8, 12, 16, find the intersection of P and Q.

Mathematics

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Answer

P∩Q={4,8}P \cap Q = \{4, 8\}

Step-by-step solution

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Here's the solution for question 13b:

b)
Given sets:
P={2,4,6,8,10}P = \{2, 4, 6, 8, 10\}
Q={4,8,12,16}Q = \{4, 8, 12, 16\}

  1. Identify the elements of set P.

    P={2,4,6,8,10}P = \{2, 4, 6, 8, 10\}

  2. Identify the elements of set Q.

    Q={4,8,12,16}Q = \{4, 8, 12, 16\}

  3. Find the common elements (intersection) of P and Q.

    The elements that are present in both set P and set Q are 4 and 8.

    P∩Q={4,8}P \cap Q = \boxed{\{4, 8\}}
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