Solve the inequalities in Exercieses 7 to 10 and represent the solution graphically on number line:

2(x-1)< x+5, 3(x+2)>2-x

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Solution

We have

2(x-1)< x+5 and 3(x+2) > 2 -x

$\Rightarrow 2 x - 22 - x$

$\Rightarrow x < 7$ and 4x > -4

$\Rightarrow x < 7$ and x > -1

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