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Solve the inequation: -212+2x≤4x5≤43+2x,x∈W. Graph the solution set on the number line. - Mathematics

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प्रश्न

Solve the inequation:

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

Graph the solution set on the number line.

बेरीज

उत्तर

`-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

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Representation of Solution on the Number Line
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Linear Inequations (In one variable) - Exercise 4 (B) [पृष्ठ ५०]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 27 | पृष्ठ ५०
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