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If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is - Mathematics

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Question

If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is

Options

  • { – 2, – 1, 0, 1, 2, …}

  • { – 1, 0, 1, 2, …}

  • {0, 1, 2, 3, …}

  • `{x : x ∈"R",x≥ -(3)/(2)}`

MCQ

Solution

x ∈ W
3x + 11 ≥ x + 8
⇒ 3x – x ≥ 8 – 11
⇒ 2x ≥ -3

⇒ `x ≥ (-3)/(2)`

⇒ `x ≥ -1(1)/(2)`
Solution set = {0, 1, 2, 3, .....}.

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Solving Algebraically and Writing the Solution in Set Notation Form
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Chapter 4: Linear Inequations - Multiple Choice Question

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 4 Linear Inequations
Multiple Choice Question | Q 2
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