Question

不等式2x+1/3>ax-1/3的解集是x小于5/3则A应满足

2x+1/3+1>ax-1/3

Answer 1

2x+1/3>ax-1/3
(2-a)x>-2/3
所以(-2/3)/(2-a)=5/3
交叉相乘
10-5a=-2
-5a=-12
a=12/5

Answer 2

2x+1/3>ax-1/3的解集是x＜5/3
即2/3＜(a-2)x的解集是x＜5/3
，显然a-2＞0，切5/3=[2/3]/[a-2]
得到a=12/5

Answer 3

2x+1/3>ax-1/3
1/3+1/3﹥ax-2x
(a-2)x﹤2/3
∵不等式2x+1/3>ax-1/3的解集是x小于5/3
∴a-2﹥0
2/3/(a-2)=5/3
2a-4=5
即a=9/2

Answer 4

移一下项可得（a-2）x<2/3,由於解集为x<5/3,可知a-2>0
x<2/3(a-2),则2/(a-2)=5,解得a=12/5>2
答案为a=12/5