Linear Inequalities · Class 11 · CBSE · Science Mathematics

Find the solution set of the compound inequality -2 ≤ 3x + 1 < 10.

Practice question from Linear Inequalities (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-DE2249

Find the solution set of the compound inequality -2 ≤ 3x + 1 < 10.

  1. A.-1 ≤ x < 3Correct answer
  2. B.-1 < x ≤ 3
  3. C.-3 ≤ x < 9
  4. D.1 ≤ x < 3

Solution

Subtracting 1 throughout gives −3≤3x<9-3 \le 3x < 9. Dividing throughout by 3 gives −1≤x<3-1 \le x < 3.

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