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

3x-7 > 2(x-6),6-x > 11 -2x

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Solution

We have

3x-7>2(x-6)and 6-x >11 -2x

$\Rightarrow 3 x - 7 > 2 x - 12$ and 6-x > 11 -2x

$\Rightarrow x > - 5$ and x > 5

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Similar questions

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

3 x - 7 > 2 (x - 6), 6 - x > 11 - 2 x

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$5 (2 x - 7) - 3 (2 x + 3) \leq 0, 2 x + 19 \leq 6 x + 47$

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