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List the elements of the solution set of the inequation –3 < x – 2 ≤ 9 – 2x; x ∈ N. - Mathematics

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Question

List the elements of the solution set of the inequation –3 < x – 2 ≤ 9 – 2x; x ∈ N.

Sum

Solution

–3 < x – 2 ≤ 9 – 2x

–3 < x – 2 and x – 2 ≤ 9 – 2x

–1 < x and 3x ≤ 11

`-1 < x ≤ 11/3`

Since, x ∈ N

∴ Solution set = {1, 2, 3}

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Linear Inequations in One Variable
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Chapter 4: Linear Inequations (In one variable) - Exercise 4 (B) [Page 49]

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Selina Mathematics [English] Class 10 ICSE
Chapter 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 6 | Page 49
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