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Review: Properties of Consecutive Even Integers
Explanation
In this question, the numbers r, s, and t could be 4,
6, 8, or 52, 54, 56, to pick two cases of many. We can also think of them as r, , .
That observation leads us to see that Roman numeral I must be true. Answer
choices (B) and (D) are out. Roman numeral II must be true, because is always an integer and t is even, so the factor of 2 will carry over into the product and
make it even. We can evaluate Roman numeral III with numbers or algebra. It
says that
This is true. Therefore, III must also be true. All three
must be true.
The correct answer is (E).
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