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Question
Solve: `(2x - 3)/(4) ≥ (1)/(2)`, x ∈ {0, 1, 2,…,8}
Sum
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Solution
`(2x - 3)/(4) ≥ (1)/(2)`
⇒ 2x - 3 ≥ `(4)/(2)`
⇒ 2x - 3 ≥ 2
⇒ 2x ≥ 2 + 3
⇒ 2x ≥ 5
⇒ x ≥ `(5)/(2)`
∵ x ∈ {0, 1, 2, .........…, 8}
∴ Solution set = {3, 4, 5, 6, 7, 8}.
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