2. 外语
  3. If ｜t + 3 ｜ > 5, which of the following could be the value of t ? Indicate all such values.

If ｜t + 3 ｜ > 5, which of the following could be the value of t ? Indicate all such values.

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问题 If ｜t + 3 ｜ > 5, which of the following could be the value of t ?
Indicate all such values.
选项 A、-9
B、-6
C、-2
D、0
E、3
答案A，E
解析 One way to approach this question is to substitute each of the answer choices into the inequality and determine which ones satisfy the inequality. If you do this, you will see that Choice A, -9, and Choice E, 3, satisfy the inequality, but the other answer choices do not. The correct answer consists of Choices A and E.
    An algebraic approach to the question is to note that the inequality ｜t + 3 ｜ > 5 is satisfied whenever t + 3>5ort + 3<-5, that is, whenever t > 2 or t < -8. Therefore, all values of t greater than 2 or less than -8 satisfy the inequality ｜t + 3 ｜ > 5. The only answer choices that meet those conditions are -9, Choice A, and 3, Choice F. The correct answer consists of Choices A and E.
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