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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 = 21, y = 3 |
B. |
x = 7, y = 12 |
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C. |
x = 12, y = 6 |
D. |
x = 10, y = 9 |
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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. |
x = 1 |
B. |
3x |
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C. |
3x + 10 |
D. |
3x + 10 = 13 |
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Hint |
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3. |
Identify the conclusion in the following algebraic statement: If a = 3, then 2a + 1 = 7. |
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A. |
2a + 1 |
B. |
2a + 1 = 7 |
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C. |
2a |
D. |
a = 3 |
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Hint |
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4. |
A counterexample disproves a conditional when ________ . |
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A. |
the hypothesis is false and there is no valid conclusion |
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B. |
the hypothesis is true and the conclusion is false |
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C. |
the hypothesis is false and the conclusion is false |
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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 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 = 1.75, y = 0.9 |
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C. |
x = 0.3, y = 0.2 |
D. |
x = 7.1, y = 2.2 |
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Hint |
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