If 2 - 4x < -6 , what are the possible values for 2x -1?

All values less than 3

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All values greater than 3

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All values less than -3

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All values greater than -3

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Solution

The correct option is B All values greater than 3
$2 - 4 x < - 6$
$\Rightarrow 2 (1 - 2 x) < - 6$
$\Rightarrow (1 - 2 x) < - 3$ (on division by 2)
$\Rightarrow (2 x - 1) > 3$ (on multiplication with -1), multiplying with a negative number inverts the inequality.
Hence, B is the correct choice

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