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

Question

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

Dr. Abubacker · Accepted Answer

(b)
Given, $3 + \frac{3}{3^{x}} - 4 < 0\ \  \Rightarrow \ \ \ 3^{2x} + 3 - {4.3}^{x} < 0$
$\Rightarrow \ \ \left( 3^{x} - 1 ight)\left( 3^{x} - 3 ight) < 0$
$1 < 3^{x} < 3\ \  \Rightarrow \ \ \ 0 < x < 1$
$	herefore$ The solution set is (0, 1)

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

Explanation

Reviewed by Dr. Abubacker

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