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SAT数学Problem Solving练习题（43）
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以下是易伯华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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