Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line.

3(1-x) < 2 (x+4)

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Solution

Here 3(1-x) < 2 (x+4)

$\Rightarrow 3 - 3 x < 2 x + 8 \Rightarrow - 3 x - 2 x < 8 - 3$

$\Rightarrow - 5 x < 5$

Dividing both sides by -5, We have

x > -1

The solution set is $(- 1, \infty) .$

The representation of the solution set on the number line is

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