Solve the given inequality and show the graph of the solution on a number line:
$3(1-x) < 2(x+4)$
$3(1-x) < 2(x+4)$
(N/A) $3(1-x) < 2(x+4)$
$\Rightarrow 3-3x < 2x+8$
$\Rightarrow 3-8 < 2x+3x$
$\Rightarrow -5 < 5x$
$\Rightarrow \frac{-5}{5} < \frac{5x}{5}$
$\Rightarrow -1 < x$
The graphical representation of the solution $x > -1$ on the number line is shown by an open circle at $-1$ with the line extending to the right.
$\Rightarrow 3-3x < 2x+8$
$\Rightarrow 3-8 < 2x+3x$
$\Rightarrow -5 < 5x$
$\Rightarrow \frac{-5}{5} < \frac{5x}{5}$
$\Rightarrow -1 < x$
The graphical representation of the solution $x > -1$ on the number line is shown by an open circle at $-1$ with the line extending to the right.
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