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

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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]`

  Is there an error in this question or solution?

APPEARS IN

 2009-2010 (March) (with solutions)
Question 1.1 | 3.00 marks
Solution Solve the Following in Equation and Represent the Solution Set on the Number Line. `R - 3 < -1/2 - (2x)/3 <= 5/6, X ∈ R` Concept: Representation of Solution on the Number Line.
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