8x+1/5x+3>1 求x

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8x+1/5x+3>1 求x
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8x+1/5x+3>1 求x
8x+1/5x+3>1 求x

8x+1/5x+3>1 求x
(8X+1)/(5X+3)-1>0
(8X+1-5X-3)/(5X-3)>0
(3X-2)/(5x-3)>0
等价于(3X-2)(5X-3)>0
X2/3

(8x+1)/(5x+3)>1
8x+1>5x+3
8x-5x>3-1
3x>2
x>2/3
同时5x+3<>0 <>代表不等于
x<>-3/5
经检验，x<>-3/5不在x>2/3范围内
所以解为x>2/3

(8x+1)/(5x+3)>1
(8x+1)/(5x+3)-1>0
(8x+1-5x-3)/(5x+3)>0
(3x-2)/(5x+3)>0
两个数相除大于0，则符号相同
所以相乘也大于0
所以(3x-2)(5x+3)>0
x>2/3,x<-3/5

8x+1>5x+3
x>2/3

X〈-3/5或X〉2/3

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