We have compiled the MCQ Questions for Class 11 Maths Chapter 6 Linear Inequalities with Answers Pdf free download covering the entire syllabus for JEE and Boards. Practice MCQ Questions for Class 11 Maths with Answers on a daily basis and score well in exams. Refer to Linear Inequalities Class 11 MCQs Quiz Questions with Answers here along with a detailed explanation.

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Linear Inequalities Class 11 MCQs Questions with Answers

Linear Inequalities Class 11 MCQs Questions with Answers

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1. Solve: 1 ≤ |x – 1| ≤ 3

 [-2, 0]

 [2, 4]

 [-2, 0] ∪ [2, 4]

 None of these

2. If x² = -4 then the value of x is

 (-2, 2)

 (-2, ∞)

 (2, ∞)

 No solution

3. The solution of the 15 < 3(x – 2)/5 < 0 is

 27 < x < 2

 27 < x < -2

 -27 < x < 2

  -27 < x < -2

4. If x² = 4 then the value of x is

 -2

 2

 -2, 2

 None of these

5. If |x| < 5 then the value of x lies in the interval

 (-∞, -5)

 (∞, 5)

 (-5, ∞)

 (-5, 5)

6. If (|x| – 1)/(|x| – 2) ‎≥ 0, x ∈ R, x ‎± 2 then the interval of x is

 (-∞, -2) ∪ [-1, 1]

  [-1, 1] ∪ (2, ∞)

 (-∞, -2) ∪ (2, ∞)

 (-∞, -2) ∪ [-1, 1] ∪ (2, ∞)

7. The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is

 exterior of a triangle

 interior of a triangle including the points on the sides

 in the 2nd quadrant

 none of these

8. The solution of the -12 < (4 -3x)/(-5) < 2 is

 56/3 < x < 14/3

 -56/3 < x < -14/3

 56/3 < x < -14/3

 -56/3 < x < 14/3

9. Solve: f(x) = {(x – 1)×(2 – x)}/(x – 3) ≥ 0

 (-∞, 1] ∪ (2, ∞)

 (-∞, 1] ∪ (2, 3)

 (-∞, 1] ∪ (3, ∞)

 None of these

10. Solve: |x – 3| < 5

 (2, 8)

 (-2, 8)

 (8, 2)

 (8, -2)

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