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Question
List the solution set of `(11 - 2x)/(5) ≥ (9 - 3x)/(8) + (3)/(4)`, x ∈ N
Sum
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Solution
`(11 - 2x)/(5) ≥ (9 - 3x)/(8) + (3)/(4)`
⇒ 88 - 16x ≥ 45 - 15x + 30
⇒ –16x + 15x ≥ 45 + 30 – 88
⇒ –x ≥ – 13
⇒ x ≤ 13
x ≤ N
Solution set = {1, 2, 3, 4, 5, ..., 13}.
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