Question:
Solve the given inequality and show the graph of the solution on number line: $3(1-x)<2(x+4)$
Solution:
$3(1-x)<2(x+4)$
$\Rightarrow 3-3 x<2 x+8$
$\Rightarrow 3-8<2 x+3 x$
$\Rightarrow-5<5 x$
$\Rightarrow \frac{-5}{5}<\frac{5 x}{5}$
$\Rightarrow-1 The graphical representation of the solutions of the given inequality is as follows. 