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Question
Solve the following linear in-equation and graph the solution set on a real number line :
`4 3/4 >= "x" + 5/6 > 1/3` , x ∈ R
Solution
`4 3/4 >= "x" + 5/6`
`19/4 >= (6"x"+5)/6`
114 ≥ 24x + 20
114 - 20 ≥ 24 x
94 ≥ 24 x
x ≤ `3 11/12`
and
`"x" + 5/6 > 1/3`
`(6 "x" + 5)/6 > 1/3`
18 x + 15 > 6
18 x > 6 - 15
18x > -9
x > `-1/2`
Solution set = `[-1/2 < "x" <= 3 11/12]`
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