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  • The inequality (x-3m)(x-m-3)<0 is satisfied for x in [1,3]. Determine the values of m for this to hold good.

The inequality (x-3m)(x-m-3)<0 is satisfied for x in [1,3]. Determine the values of m for this to hold good.

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(x-3m)(x-m-3)<0\\ \rightarrow m+3<x<3m\\ \text{Given }1<x<3\\ m+3>1 \ and \ 3m<3\\ m\epsilon (-2,1)

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Ravindra Pindel

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