Solve the equation
$| 9 x - 2 | = | 8 x - 5 |$

{- \frac{3}{17}, 7}

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{- 3, \frac{17}{7}}

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{- 7, 1}

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{7, 1}

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Solution

The correct option is B ${- 3, \frac{17}{7}}$
Given, $| 9 x - 2 | = | 8 x - 5 |$
$\Rightarrow 9 x - 2 = \pm (8 x - 5)$
$\Rightarrow 9 x - 2 = 8 x - 5$ or $9 x - 2 = - (8 x - 5)$
$\Rightarrow 9 x - 8 x = - 5 + 2$ or $9 x + 8 x = 5 + 2$
$\Rightarrow x = - 3$ or $17 x = 7$
$\Rightarrow x = \frac{17}{7}$
Hence, required solution is ${- 3, \frac{17}{7}}$ .

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