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List the Elements of the Solution Set of the Inequation -3 < X – 2 ≤ 9 – 2x; X ∈ N. - ICSE Class 10 - Mathematics

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Question

List the elements of the solution set of the inequation

-3 < x – 2 ≤ 9 – 2x; x ∈ N.

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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Solution List the Elements of the Solution Set of the Inequation -3 < X – 2 ≤ 9 – 2x; X ∈ N. Concept: Linear Inequations in One Unknown.
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