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Solve the inequation 5(x – 2) > 4 (x + 3) – 24 and represent its solution on a number line.

Given the replacement set is {-4, -3, -2, -1, 0, 1, 2, 3, 4}.

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5(x -2) > 4 (x + 3) – 24

⇒ 5x – 10 > 4x + 12 – 24

⇒ 5x – 4x > 10 – 12

⇒ 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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