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Question

Solve the inequality 332x<9, xR.

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Solution

We have 332x<9

332x and 32x<9

Now, 332x

2x3+3 2x6

x3 ...(i)

Again 32x<9

2x<93 2x<6

2x>6 x>3 [ifa<b, then a>b] ...(ii)

From Eqs. (i) and (ii), we get

x>3 and x3

3<x3

Hence, solution set = {xR,3<x3}.


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