1.   Which values are a counterexample to the given statement?
If x + y = an even number, then x is even and y is even.
    A. x = 12, y = 6 B. x = 21, y = 3
    C. x = 10, y = 9 D. x = 7, y = 12
    Hint

  2.   A conditional statement consists of a __________ .
    A. conclusion only B. hypothesis only
    C. counterexample D. hypothesis and a conclusion
    Hint

  3.   A counterexample disproves a conditional when ________ .
    A. the hypothesis is false and the conclusion is false
    B. the hypothesis is true and the conclusion is true
    C. the hypothesis is true and the conclusion is false
    D. the hypothesis is false and there is no valid conclusion
    Hint

  4.   Which values of x and y are counterexamples to the given statement?
If xy = an even number, then both x and y are even numbers.
    A. x = 19, y = 13 B. x = 22, y = 20
    C. x = 12, y = 4 D. x = 15, y = 8
    Hint

  5.   Which values are a counterexample to the given statement?
If x × y = 0, then x must be 0.
    A. x = 5, y = 0 B. x = -1, y = 1
    C. x = 0, y = 0 D. x = 0, y = 1
    Hint



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