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Solve the Following Inequation and Represent the Solution Set on the Number Line -3 < -1/2 - (2x)/3 ,= 5/6, X in R - ICSE Class 10 - Mathematics

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Question

Solve the following inequation and represent the solution set on the number line

`-3 < -1/2 - (2x)/3 ≤ 5/6, x in 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]`

The solution set can be represented on a number line as:

  Is there an error in this question or solution?

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Solution Solve the Following Inequation and Represent the Solution Set on the Number Line -3 < -1/2 - (2x)/3 ,= 5/6, X in R Concept: Representation of Solution on the Number Line.
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