- C and D If x + y = 0, and neither x nor y = 0, then it must be the case that x
and y are different numbers with the same absolute value. For example, x =
−2 and y = 2. Based on this example, choices A and B are possible. For choice
C to be possible, x and y would have to have the same sign. But they cannot
have the same sign since they must cancel each other out. Choice C cannot be
true and is thus a possible answer. Choice D cannot be true because any non-
zero number raised to an even exponent will yield a positive result. Positive- positive > 0. Choice E is always true, since odd exponents preserve the
sign of the base. Because x and y have different signs, x^3 and y^3 will also have
different signs.
- positive > 0. Choice E is always true, since odd exponents preserve the
- B, C, and D If the percentage, when rounded to the nearest tenth, is 14.2%,
then the actual percentage, p, is such that 14.15 ≤ p ≤ 14.249. We can use this
percentage range to yield a range for the number of voters who expressed a
preference for an independent candidate. The lower bound will be 14.15% of
80,000 = 11,320. The upper bound will be 14.249% of 80,000 = 11,399.2. Any
value that falls between these two endpoints will be an answer. Among the
choices, the values that fall in this range are B, C, and D.
CHAPTER 16 ■ PRACTICE TEST 2 57105-GRE-Test-2018_463-582.indd 571 12/05/17 12:14 pm