Solve: $5 x - 3 < 3 x + 1$ , when x is an integer.

{- 3, - 2, - 1, 0, 1}

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{- 5, - 4, - 3, - 2, - 1, 0, 1, 2}

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{- 4, - 3, - 2, - 1, 0, 1}

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{- 2, - 1, 0, 1, 2}

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Solution

The correct options are
B ${- 3, - 2, - 1, 0, 1}$
D ${- 4, - 3, - 2, - 1, 0, 1}$
$5 x - 3 < 3 x + 1$
$\Rightarrow 5 x - 3 - 3 x + 3 < 3 x + 1 - 3 x + 3$
$\Rightarrow 5 x - 3 x < 1 + 3$
$\Rightarrow 2 x < 4$
$\Rightarrow x < 2$
Then $x$ can be ${- 3, - 2, - 1, 0, 1}$ and ${- 4, - 3, - 2, - 1, 0, 1}$

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