Solve $3 (1 - x) < 2 (x + 4)$ and show the graph of the solution on number line ?

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Solution

$3 (1 - x) < 2 (x + 4)$
$3 - 3 x < 2 x + 8$
$- 3 x - 2 x < 8 - 3$
$- 5 x < 5$
$- \frac{5 x}{5} < \frac{5}{5}$
$- x < 1$
$(- 1) \times (- x) > (- 1) \times 1$
$x > - 1$

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