Absolute values

2008-05-29 7:59 pm
absolution values properties :
1)
|b| ≦ a, then -a ≦ b ≦ a
and conversely if -a ≦ b ≦ a (a ≧ 0), then |b| ≦ a.

2)
Let a ≧ 0. If |b| ≧ a,
then b ≧ a or b ≦ -a, the converse is also ture


is the above statement also true for :

|b| < a, then -a < b < a
and conversely if -a < b < a (a > 0), then |b| < a. ?

Let a > 0. If |b| > a,
then b > a or b < -a, the converse is also ture
更新1:

≦ .... is < or = ≧ ... is > or = the inequality notation

回答 (1)

2008-05-29 11:42 pm
✔ 最佳答案
第一個correct
第二個correct
1. 個b大過0的話,有冇 abs value 都係a大過b
 但因佢講左 -a細過b,邏輯上如果b本身係負,正左都會細過 a

2. |b| &gt; a
b &gt; a or b &lt; -a
LE個係直接拆的,no problem~


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