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Question
Given 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 >= (3x - 12 + 2x)/6 >= 2`
`18 >= 3x - 12 + 2`
`18 + 12 >= 5x`
`30 >= 5x`
`6 >= x`
`3 >= (x - 4)/2 + x/3 >= 2`
`3 >= (3x - 12 + 2x)/6 >= 2`
`5x-12>=12`
`5x>=12+12`
`5x>=24`
`x>=24/5`
`x>=4.8`
{x : 4.8 ≤ x ≤ 6, x ∈ I}
Solution set = {5, 6}
It can be graphed on number line as
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