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Solve the Inequation `-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x` , X ∈ W. Graph the Solution Set on the Number Line. - ICSE Class 10 - Mathematics

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Question

Solve the inequation

`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x` , x ∈ W.

Graph the solution set on the number line.

Solution

`-2 1/2 + 2x  <=  (4x)/5 <= 4/3 + 2x`

`-2 1/2 <=  (4x)/5  -  2x  <=   4/3`

`-5/2 <= - (6x)/5 <= 4/3`

`25/12 >= x  >= - 10/9`

2.083 >= x >= -1.111

Since x ∈ W

∴ Solution set = {0, 1, 2}

The solution set can be represented on number line as:

  Is there an error in this question or solution?

APPEARS IN

Solution Solve the Inequation `-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x` , X ∈ W. Graph the Solution Set on the Number Line. Concept: Representation of Solution on the Number Line.
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