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Manipulation of inequalities

Solve for x...

Question

Solve for $x$ if $| 2 x - 1 | < 3$

A

1 < x < 2

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B

- 1 < x < 2

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C

- 1 < x < 0

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D

None od these

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Solution

The correct option is B $- 1 < x < 2$
$- 3 < 2 x - 1 < 3 \Rightarrow - 2 < 2 x < 4 \Rightarrow - 1 < x < 2$

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Manipulation of inequalities

Standard XII Mathematics

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