Linear Inequalities MCQ Questions for Class 11 Maths Chapter 6 with Answers

By /

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 6 Linear Inequalities with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Linear Inequalities. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. If (x + 3)/(x – 2) > 1/2 then x lies in the interval

(i) (-8, ∞)
(ii) (8, ∞)
(iii) (∞, -8)
(iv) (∞, 8)

(i) (-8, ∞)

Q2. The number of integral solutions of x+2 / x2+1 >1/2

(i) 4
(ii) 5
(iii) 3
(iv) none of these

(iii) 3

Q3. ax + b > 0 is __

(i) double inequality
(ii) quadratic inequality
(iii) numerical inequality
(iv) linear inequality

(iv) linear inequality

Q4. The graph of the inequations x ≤ 0 , y ≤ 0, and 2x + y + 6 ≥ 0 is

(i) exterior of a triangle
(ii) a triangular region in the 3rd quadrant
(iii) in the 1st quadrant
(iv) none of these

(ii) a triangular region in the 3rd quadrant

Q5. The region of the XOY-plane represented by the inequalities x ≥ 6, y ≥ 2, 2x + y ≤ 10 is

(i) unbounded
(ii) a polygon
(iii) none of these
(iv) exterior of a triangle

(iii) none of these

Q6. Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then

(i) x Î(-∞,- 4]∪[3,∞)
(ii) x Î[-3,1]
(iii) x Î(-∞,-4)∪(3,∞)
(iv) x Î[-4,3]

(i) x Î(-∞,- 4]∪[3,∞)

Q7. If -2 < 2x – 1 < 2 then the value of x lies in the interval

(i) (1/2, 3/2)
(ii) (-1/2, 3/2)
(iii) (3/2, 1/2)
(iv) (3/2, -1/2)

(ii) (-1/2, 3/2)

Q8. Solve: 2x + 1 > 3

(i) [-1, ∞]
(ii) (1, ∞)
(iii) (∞, ∞)
(iv) (∞, 1)

(ii) (1, ∞)

Q9. If -2 < 2x – 1 < 2 then the value of x lies in the interval

(i) (1/2, 3/2)
(ii) (-1/2, 3/2)
(iii) (3/2, 1/2)
(iv) (3/2, -1/2)

(ii) (-1/2, 3/2)

Q10. If x is real number and |x| < 3, then

(i) x ≥ 3
(ii) –3 < x < 3
(iii) x ≤ -3
(iv) -3 ≤ x ≤ 3

(ii)

Q11. The solution of the inequality 3(x – 2)/5 ≥ 5(2 – x)/3 is

(i) x ∈ (2, ∞)
(ii) x ∈ [-2, ∞)
(iii) x ∈ [∞, 2)
(iv) x ∈ [2, ∞)

(iv) x ∈ [2, ∞)

Q12. If | x − 1| > 5, then

(i) x∈(−∞, −4)∪(6, ∞]
(ii) x∈[6, ∞)
(iii) x∈(6, ∞)
(iv) x∈(−∞, −4)∪(6, ∞)

(iv) x∈(−∞, −4)∪(6, ∞)

Q13. The set of real values of x for which log 0.2 x+2/x ≤ 1 is

(i) (-∞, -5/2]∪(0, ∞)
(ii) [5/2, ∞)
(iii) (-∞, – 2)È[0, ∞)
(iv) none of these

(i) (-∞, -5/2]∪(0, ∞)

Q14. Solve: 1 ≤ |x – 1| ≤ 3

(i) [-2, 0]
(ii) [2, 4]
(iii) [-2, 0] ∪ [2, 4]
(iv) None of these

(iii) [-2, 0] ∪ [2, 4]

Q15. The solution of |2/(x – 4)| > 1 where x ≠ 4 is

(i) (2, 6)
(ii) (2, 4) ∪ (4, 6)
(iii) (2, 4) ∪ (4, ∞)
(iv) (-∞, 4) ∪ (4, 6)

(ii) (2, 4) ∪ (4, 6)

Q16. Given that x, y and b are real numbers and x < y , b < 0, then

(i) x/b < y/b (ii) x/b ≤ y/b (iii) x/b > y/b
(iv) x/b ≥ y/b

(iii) x/b > y/b

Q17. Solve: -1/(|x| – 2) ≥ 1 where x ∈ R, x ≠ ±2

(i) (-2, -1)
(ii) (-2, 2)
(iii) (-2, -1) ∪ (1, 2)
(iv) None of these

(iii) (-2, -1) ∪ (1, 2)

Q18. The solution of the -12 < (4 -3x)/(-5) < 2 is

(i) 56/3 < x < 14/3
(ii) -56/3 < x < -14/3
(iii) 56/3 < x < -14/3
(iv) -56/3 < x < 14/3

(iv)

Q19. The solution set of the inequality 1/x < is

(i) (1, ∞)
(ii) (-∞, 1)
(iii) (-∞, 0)∪(1, ∞)
(iv) none of these

(iii) (-∞, 0)∪(1, ∞)

Q20. If |x| = -5 then the value of x lies in the interval

(i) (-5, ∞)
(ii) (5, ∞)
(iii) (∞, -5)
(iv) No solution

(iv) No solution

Q21. If |x| < 5 then the value of x lies in the interval

(i) (-∞, -5)
(ii) (∞, 5)
(iii) (-5, ∞)
(iv) (-5, 5)

(iv) (-5, 5)

Q22. The solution set of the equation 4{x} = x +[x], where {x} and [x] denote the fractional and integral parts of a real number ‘x’ respectively, is

(i) { 0}
(ii) {0, 5/3}
(iii) [0, ∞)
(iv) none of these

(ii) {0, 5/3}

We Think the given NCERT MCQ Questions for class 11 Mathematics book Chapter 6 Linear Inequalities with Answers Pdf free download will assist you. If you’ve got any queries regarding CBSE Class 11 Maths of Linear Inequalities MCQs Multiple Choice Questions with Answers, drop a comment below and that we will come back to you soons.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top