Absolute Value, 點樣分CASES計呀?

2013-03-14 11:23 pm
(x+1)/|x-1| >0

請寫埋STEPS加解釋 THX

回答 (2)

2013-03-15 9:48 am
✔ 最佳答案

螞蟻雄兵的方法最快.
大概你要的是分 case.

(x+1)/| x-1 | >0
考慮
情況(1): x<1(x+1)/| x-1 | >0(x+1)/[-(x-1)]>0(x+1)/(x-1)<0(x+1)(x-1)<0so -1 < x < 1.
情況(2): x>1(x+1)/| x-1 | >0(x+1)/(x-1)>0(x+1)(x-1)>0so x < -1 or x > 1.in this case, x > 1.
Combining the 2 cases: -1 < x < 1 and x > 1.
參考: Additional Mathematics
2013-03-15 12:17 am
(x+1)/|x-1|>0
Sol
(x+1)/|x-1|>0
(x+1)|x-1|>0
x+1>0,x<>1
x>-1,x<>1




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