Question

Solve the given inequality and show the graph of the solution on number line: 3(1 - x) < 2(x + 4).

Answer 1

3(1 - x) < 2(x + 4)
⇒ 3 -3x < 2x + 8
⇒ 3 - 8 < 2x + 3x
⇒ -5 < 5x
$⇒ \frac{-5}{5 }< \frac{5x}{5}$
⇒ -1 < x
The graphical representation of the solutions of the given inequality is as follows.