SAT数学Problem Solving练习题(43)

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摘要:下面是小站SAT频道为大家整理了SAT数学Problem Solving练习题(43),供考生们参考,以下是详细内容。

以下是小站SAT频道为大家整理了SAT数学Problem Solving练习题(43),供考生们参考,以下是详细内容。

Question 43: If a, b and c are the sides of any triangle, which of the following inequalities is not true?

(a) a·b > 0

(b) a + b > c

(c) a + c/2 >b

(d) b + c > a

(e) (a + b)·(b + c) > a·c

Answer: The first answer is true, since the product of 2 positive reals will be positive.

The second and the fourth answers are also true, since the sum of 2 sides of a triangle is always higher than the third side.

The fifth answer is also true because it is just a multiplication of the second and fourth inequalities.

Answer three should be the one that is not true, and we can verify this result with an example: an isosceles triangle with a = 3, b= 3, c= 10 will not satisfy the inequality.

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