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प्रश्न
Solve the following inequation and represent the solution set on the number line:
`-3 < -1/2 - (2x)/3 ≤ 5/6, x ∈ R`
उत्तर
`-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]`
The solution set can be represented on a number line as:
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