Mathematics
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}.
Linear Inequations
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Answer
5(x - 2) > 4(x + 3) - 24
⇒ 5x - 10 > 4x + 12 - 24
⇒ 5x - 10 > 4x - 12
⇒ 5x - 4x > 10 - 12
⇒ x > - 2
∵ The replacement set is {-4, -3, -2, -1, 0, 1, 2, 3, 4}.
Hence, solution set = {-1, 0, 1, 2, 3, 4}.

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