AMC 8 2007 Problem 15
AMC8 2007 年第 15 题
方程与不等式★★★☆☆
Let , and be numbers with 0 < a < b < c. Which of the following is impossible?
，， 是三个满足 0 < a < b < c 的实数。下面哪个选项不可能？
- A.a + c < b
- B.
- C.a + b < c
- D.
- E.
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
According to the given rules, every number needs to be positive. Since is always greater than , adding a positive number ( ) to will always make it greater than . Therefore, the answer is a+c<b
We can test numbers into the inequality we're given. The simplest is 0<1<2<3. We can see that 3+1>2, so a+c<b is correct. —jason.ca
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