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Question
Solve the following in equation and represent the solution set on the number line.
`R - 3 < -1/2 - (2x)/3 <= 5/6, x ∈ R`
Solution
`-3 < -1/2 - (2x)/3 <= 5/6`
Multiply by 6, we get
`=> -18 < -3-4x <= 5`
`=> -15 < -4x <= 8`
Dividing by -4 we get
`=> (-15)/(-4) > x >= 8/(-4)`
`=> -2 <= x < 15/4`
`=> x ∈ [-2, 15/4]`
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