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Solving Inequalities

The inequalit...

Question

The inequality |2x - 3| < 1 is valid when x lies in the interval :

(-4, 3)

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(-1, 2)

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(1, 2)

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(3, 4)

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Solution

The correct option is C (1, 2)
We have $| 2 x - 3 | < 1 \Leftrightarrow - 1 < 2 x - 3 < 1$
$\Leftrightarrow 1 < x < 2 \Leftrightarrow x ϵ (1, 2)$

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