Solve the inequation 5(x-2) > 4 (x + 3) -24 and represent it solution on a number line. Given the replacement set is {-4, -3, -2, -1, 0,1,2,3,4}.

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Solution

5(x - 2) > 4 (x+3)-24

$\Rightarrow 5 x - 10 > 4 x + 12 - 24$

$\Rightarrow 5 x - 10 > 4 x + 12 - 24$

$\Rightarrow 5 x - 4 x > 10 - 12$

$\Rightarrow x > - 2$

Since replacement set = {-4, -3, -2, -1, 0, 1, 2, 3, 4}

$∴$ Solution set = {-1, 0, 1,2,3,4}

$∴$ Solution set on a number line is shown below.

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