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Question
Solve the following inequalities and represent the solution set on a number line:
`-3 < - (1)/(2) - (2x)/(3) < (5)/(6), x ∈ "R"`.
Solution
`-3 < - (1)/(2) - (2x)/(3) < (5)/(6)`
⇒ -18 < -3 - 4x ≤ 5
⇒ -15 < - 4x ≤ 8
⇒ -2 ≤ x < `(15)/(4)`
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