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Mathematics

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

  1. {-2, -1, 0, 1, 2, …}
  2. {-1, 0, 1, 2, …}
  3. {0, 1, 2, 3, …}
  4. {x : x ∈ R, x ≥ –32\dfrac{3}{2} }

Linear Inequations

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Answer

x ∈ W

3x+11x+83xx8112x3x323x + 11 \ge x + 8 \\[0.5em] \Rightarrow 3x - x \ge 8 – 11 \\[0.5em] \Rightarrow 2x \ge -3 \\[0.5em] \Rightarrow x \ge -\dfrac{3}{2} \\[0.5em]

Solution set = {0, 1, 2, 3, …}

∴ Option 3 is the correct option.

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