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Question
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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Solution
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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