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Given X ∈ {Integers}, Find the Solution Set Of: -5 ≤ 2x – 3 < X + 2 - ICSE Class 10 - Mathematics

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Question

Given x ∈ {integers}, find the solution set of:

-5 ≤ 2x – 3 < x + 2

Solution

-5 <= 2x - 3 < x + 2

`=> -5 <= 2x - 3`  and 2x  - 3 < x + 2

`=>-5 + 3  <=  2x    and  2x - x  <  2 + 3`

`=> -2 <= 2x`  and  x < 5

Since `x in {"integer"}`

‌∴ Solution set = {-1, 0, 1, 2, 3, 4}

  Is there an error in this question or solution?

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Solution Given X ∈ {Integers}, Find the Solution Set Of: -5 ≤ 2x – 3 < X + 2 Concept: Linear Inequations in One Unknown.
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