不等式X-5/3X-1小于等于2的解集?怎么算?

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不等式X-5/3X-1小于等于2的解集?怎么算?

不等式X-5/3X-1小于等于2的解集?怎么算?
不等式X-5/3X-1小于等于2的解集?怎么算?

不等式X-5/3X-1小于等于2的解集?怎么算?
X-5/3X-1小于等于2
X-5/3X-1 -2<=0
(x-5)/(3x-1)-2(3x-1/(3x-1)<=0
(x-5-6x+2)/(3x-1)<=0
(-5x-3)/(3x-1)<=0
(x+3/5)/(x-1/3)>=0

(x+3/5)(x-1/3)>=0但x≠1/3
所以
x>1/3或x<=-3/5

(x-5)/(3x-1)<=2
(x-5)/(3x-1)-2<=0
[(x-5)-2(3x-1)]/(3x-1)<=0
(-5x-3)/(3x-1)<=0
(5x+3)/(3x-1)>=0
∴x>1/3或x<=-3/5

X-5/3X-1<=2
3/3X-5/3X<=3
-2/3X<=3
2/3X>=3
X>=9/2