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24 October, 13:26

The number 18 is a counterexample for which of the following conditional statements?

A. If a number is divisible by 2, it is even.

B. If a number is odd, then it is not divisible by 2.

C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

D. If a number is divisible by 2, then it is also divisible by 4.

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Answers (2)
  1. 24 October, 15:44
    0
    The answer is c. if a number is even, then it ends with 0,2,4,6, or 8
  2. 24 October, 15:45
    0
    The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.

    Step-by-step explanation:

    To find : The number 18 is a counterexample for which of the following conditional statements?

    Solution:

    For a conditional statement to be true then it is true for all cases that satisfy the condition.

    A counterexample is given to prove a conditional statement false.

    Now, Examine all the conditions

    A. If a number is divisible by 2, it is even.

    18 is even and divisible by 2 - True

    B. If a number is odd, then it is not divisible by 2.

    18 is not odd so it is divisible by 2 - True

    C. If a number is even, then it ends with 0, 2, 4, 6, or 8.

    18 ends with 8 so it is even - True

    D. If a number is divisible by 2, then it is also divisible by 4.

    18 is divisible by 2 but 18 is not divisible by 4 - False

    Therefore, The number 18 is a counterexample for Option D - If a number is divisible by 2, then it is also divisible by 4.
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