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 = 21, y = 3 B. x = 7, y = 12
    C. x = 12, y = 6 D. x = 10, y = 9
    Hint

  2.   Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1.
    A. x = 1 B. 3x
    C. 3x + 10 D. 3x + 10 = 13
    Hint

  3.   Identify the conclusion in the following algebraic statement:
If a = 3, then 2a + 1 = 7.
    A. 2a + 1 B. 2a + 1 = 7
    C. 2a D. a = 3
    Hint

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

  5.   Which values are a counterexample to the given statement?
If x · y = a decimal, then neither x nor y is a whole number.
    A. x = 1, y = 0.5 B. x = 1.75, y = 0.9
    C. x = 0.3, y = 0.2 D. x = 7.1, y = 2.2
    Hint



Glencoe
The McGraw-Hill Companies