2. 外语
  3. Which of the following is equivalent to x2＜3x+4?

Which of the following is equivalent to x2＜3x+4?

admin2021-10-18  64
问题 Which of the following is equivalent to x2＜3x+4?
选项 A、x＜-1
B、x＞-1
C、x＞4
D、-1＜x＜4
E、x＞4 or x＜-1
答案D
解析 x2＜3x+4变化为x2-3x-4＜0，将不等式左端因式分解得到：(x+1)(x-4)＜0，这样可以将原不等式化为两个等价的不等式组：

第一个不等式组无解，第二个不等式组解为：-1＜x＜4，所以选择D。
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