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Given that X ∈ I. Solve the Inequation and Graph the Solution on the Number Line: 3 >= (X - 4)/2 + X/3 >= 2 - Mathematics

Given that x ∈ I. solve the inequation and graph the solution on the number line:

`3 >= (x - 4)/2 + x/3 >= 2`

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Solution

`3 >= (x - 4)/2 + x/2 >= 2`

`3 >= (3x  - 12 + 2x)/6 >= 2`

`18 >= 5x - 12 >= 12``

`30 >= 5x >= 24`

`6 >= x >= 4.8`

Solution set = {5, 6}

it can be graphed on number line as

Concept: Representation of Solution on the Number Line
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 23 | Page 50
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