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Question
Solve the following linear in-equation and graph the solution set on a real number line:
`-3 <= 1/2 - (2 "x")/3 <= 2 2/3` , x ∈ N
Solution
`-3 <= 1/2 - (2 "x")/3`
`-3 <= (3 - 4 "x")/6`
-18 ≤ 3 - 4x
-18 - 3 ≤ - 4x
-21 ≤ - 4x
x ≤ `21/4`
x ≤ `5 1/4`
and
`1/2 - (2 "x")/3 <= 2 2/3`
`(3 - 4 "x")/6 <= 8/3`
9 - 12x ≤ 48
-12 x ≤ 39
12 x ≥ - 39
x ≥ `-3 1/4`
Solution set = `[-3 1/4 <= "x" <= 5 1/4]`
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