F2 maths,Very contradict!

👨🏻‍🏫 學術台數學

魔龍帝齊格益力多

2010-08-04 9:51 pm

a/b=>1
thena=>b
Question:
True of false?
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My solution:
a/b=>1
a...=>b

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But,the answer is False!

更新1:

Can you explain :Why the answer is false?

更新2:

My answer is true!

回答 (2)

用戶2053

2010-08-04 10:04 pm

✔ 最佳答案

The answer is false , for example :When a = - 2 ,b = - 1 ,a / b =- 2 / (- 1) = 2 >= 1But a = - 2 is NOT >= - 1 = b.

2010-08-04 14:11:18 補充：
For

a/b >= 1

When b < 0 ,

a =< b

When b > 0 ,

a >= b

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知識就是力量

2010-08-04 10:23 pm

Is b>0 or b<0?
You have to consider this point.
For b>0,
a/b >= 1
a => b (true)
For b<0,
a/b >= 1
a =< b

2010-08-04 14:24:12 補充：
So (false) for b<0

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