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1. |
A conditional statement consists of a __________ . |
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A. |
hypothesis and a conclusion |
B. |
conclusion only |
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C. |
counterexample |
D. |
hypothesis only |
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Hint |
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2. |
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 true and the conclusion is true |
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C. |
the hypothesis is false and there is no valid conclusion |
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D. |
the hypothesis is false and the conclusion is false |
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Hint |
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3. |
Which values are a counterexample to the given statement?
If x · y = a decimal, then neither x nor y is a whole number. |
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A. |
x = 1, y = 0.5 |
B. |
x = 7.1, y = 2.2 |
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C. |
x = 0.3, y = 0.2 |
D. |
x = 1.75, y = 0.9 |
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Hint |
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4. |
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 = 12, y = 4 |
B. |
x = 15, y = 8 |
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C. |
x = 22, y = 20 |
D. |
x = 19, y = 13 |
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Hint |
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5. |
Which values are a counterexample to the given statement?
If x × y = 0, then x must be 0. |
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A. |
x = 0, y = 0 |
B. |
x = 5, y = 0 |
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C. |
x = -1, y = 1 |
D. |
x = 0, y = 1 |
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Hint |
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