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Question

Solution set of the inequality 12x−1>11−2x−1 is

A
(1,)
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B
(0,log2(4/3))
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C
(1,)
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D
(0,1)
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Solution

The correct option is B (0,log2(4/3))
12x1>112x2
12x1112x2>0
let2x=t
1t122t>0
1t1+2t2>0
t2+2t2(t1)(t2)>0
(t43)(t1)(t2)>0
tε(1,43)(2,)
2xε(1,43)(2,)
xlog22ε(0,log243)
xε(0,log243)

996973_1046373_ans_333eecff9e6c4976be4a762a44283652.png

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