The value of x that satisfies $| x - 1 | = | x - 3 |$ is

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Solution

The correct option is A
2

Given $| x - 1 | = | x - 3 |$ Squaring both sides

$(x - 1)^{2} = (x - 3)^{2})$

$x^{2} - 2 x + 1 = x^{2} - 6 x + 9$

$\Rightarrow - 2 x + 6 x = 9 - 1$

$4 x = 8$

$x = 2$

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\frac{x - 1}{3} = \frac{2 x - 6}{4}

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