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If $| 5 x - 7 | = 2$ , then $x$

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{0, 1}

{- 1, \frac{- 9}{5}}

{1, \frac{9}{5}}

{0, \frac{5}{9}}

answer is C.

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Detailed Solution

| 5 x - 7 | = 2

$5 x - 7 = 2$

$5 x = 2 + 7$

$5 x = 9$

$x = \frac{9}{5}$

$(o r)$

$5 x - 7 = - 2$

$5 x = 7 - 2$

$5 x = 5$

$x = 1$

$∴ x = {1, \frac{9}{5}}$

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