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Question
Give that x ∈ I. Solve the inequation and graph the solution on the number line:
`3≥(x - 4)/(2)+x/(3)≥2`
Solution
`3≥(x - 4)/(2)+x/(3)≥2`
⇒ `3≥(3(x - 4)+2x)/(6)≥2`
⇒ 18 ≥ 5x - 12 ≥ 12
⇒ 30 ≥ 5x ≥ 24
⇒ `(24)/(5) ≤ x ≤ 6` ...(x ∈ I)
∴ The solution set = (5, 6)
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