Which of the following is a counterexample for the statement

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A counterexample is something that proves the statement wrong. For example, "All swans are white" has the counterexample of a black swan, because it is a swan that is not white.

Here, "For all integers x, if x is not prime then x is divisible by 2". So you need an integer such that if it is not prime it is not divisible by 2. Which of the possible numbers has such a property?

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Updated on August 16, 2022

Comments

  • Hydrogen
    Hydrogen about 1 year

    Which of the following is a counterexample for the statement

    For all integers x, if x is not prime then x is divisible by 2

    18, 2, 45, 15, 100, 23

    What I tried is to do the opposite of this statement, so: For all integers x, if x is a prime number then it is NOT divisible by 2

    Im think the only logical answer is 23, because 23 is NOT divisible by 2 and 23 is a prime number

  • Hydrogen
    Hydrogen about 7 years
    45 and 15 right?. Because 45 and 15 are not prime, and they are NOT divisible by 2
  • ConMan
    ConMan about 7 years
    Yup. 23 is wrong because it does nothing to disprove the statement - it's like trying to disprove "All swans are white" by finding a green chicken.