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The solution set contained in R of the inequation $3^{x} + 3^{1 - x} - 4 < 0$ is

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$(1, 3)$

$(1, 2)$

$(0, 1)$

$(0, 2)$

answer is B.

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Detailed Solution

$3^{x} + \frac{3}{3^{x}} - 4 < 0 {Put 3}^{x} = y \Rightarrow y^{2} - 4 y + 3 < 0 \Rightarrow (y - 3) (y - 1) < 0 \Rightarrow 1 < y < 3 \Rightarrow 1 < 3^{x} < 3 \Rightarrow 3^{0} < 3^{x} < 3^{1} \Rightarrow 0 < x < 1$

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