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1. |
Which values are a counterexample to the given statement?
If x + y = an even number, then x is even and y is even. |
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A. |
x = 7, y = 12 |
B. |
x = 10, y = 9 |
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C. |
x = 12, y = 6 |
D. |
x = 21, y = 3 |
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Hint |
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2. |
Identify the hypothesis in the following algebraic statement:
If 3x + 10 = 13, then x = 1. |
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A. |
3x |
B. |
3x + 10 = 13 |
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C. |
x = 1 |
D. |
3x + 10 |
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Hint |
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3. |
A conditional statement consists of a __________ . |
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A. |
conclusion only |
B. |
hypothesis only |
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C. |
hypothesis and a conclusion |
D. |
counterexample |
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Hint |
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4. |
A counterexample disproves a conditional when ________ . |
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A. |
the hypothesis is true and the conclusion is false |
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B. |
the hypothesis is false and the conclusion is false |
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C. |
the hypothesis is false and there is no valid conclusion |
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D. |
the hypothesis is true and the conclusion is true |
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Hint |
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5. |
Which values of x and y are counterexamples to the given statement?
If x – y = an even number, then both x and y are even numbers. |
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A. |
x = 22, y = 20 |
B. |
x = 12, y = 4 |
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C. |
x = 19, y = 13 |
D. |
x = 15, y = 8 |
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Hint |
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