# MCQ Questions for Class 11 Maths Chapter 6 Linear Inequalities with answers

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Below you will find MCQ Questions of Chapter 6 Linear Inequalities Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 6 Linear Inequalities with answers

1. Solve the system of inequalities − 2 < 1 − 3x < 7

(a) − 2 < x < 2

(b) − 1 < x < 1

(c) − 2 < x < 1

(d) None of these

► (c) − 2 < x < 1

2. Find the solution for the pair of solution x > 1 and x > -1

(a) No solution

(b) -1 < x < 1

(c) x < -1

(d) x > 1

► (d) x > 1

3. The solution of the inequality 3(2-x)≥2(1-x) for real x is :

(a) x < 4

(b) x > 4

(c) x ≤4

(d) x ≥ 4

► (c) x ≤4

4. The solution to |3x – 1| + 1 < 3 is

(a) 2 < x < 3/4

(b) -1/3 < x < 1

(c) -1/3 < x < 1/4

(d) -3 < x < 3

► (b) -1/3 < x < 1

5. Solve : 3x + 5 < x − 7, when x is a real number

(a) x < − 12

(b) x > − 6

(c) x < − 6

(d) None of these

► (c) x < − 6

6. A connected planar graph having 6 vertices, 7 edges contains _____________ regions.

(a) 15

(b) 3

(c) 1

(d) 11

► (b) 3

7. Find the pairs of consecutive even positive integers both of which are smaller than 10 and their sum of more than 11

(a) (4, 8)

(b) (6, 8)

(c) (6, 8) and (4, 8)

(d) (6, 4)(4, 2)

► (b) (6, 8)

8. Find the value of x when x is a natural number and 24x< 100.

(a) {5,6,……..∞}

(b) {1,2,3,4}

(c) {1,2,3,4,5}

(d) {0,1,2,3,4}

► (b) {1,2,3,4}

9. A point P lies in the solution region of 3x – 7 > x + 3. So the possible coordinates of P are

(a) (6 , -1)

(b) (-3 ,4)

(c) (2, 5)

(d) (0, 7)

► (a) (6 , -1)

10. The solution set for | x | > 7

(a) (7 , ∞)

(b) (−∞,−7) ∪ (7,∞)

(c) (−∞,−7) ∩ (7,∞)

(d) None of these

► (b) (−∞,−7) ∪ (7,∞)

11. Identify solution set for | 4 − x | + 1 < 3?

(a) (2 , 6)

(b) (3 , 6)

(c) (2 , 4)

(d) (2 , 3)

► (a) (2 , 6)

12. If | x − 2| = p, where x < 2, then x - p =

(a) 2 – 2p

(b) - 2

(c) 2p - 2

(d) 2

► (a) 2 – 2p

13. The solution set of x/3>x/2+1, where x is a real

(a) (-6, 6)

(b) (-∞, -6)

(c) (-∞, -6]

(d) (-6, ∞)

► (b) (-∞, -6)

14. Find the solution for the pair of inequations x > 1 and x < -1

(a) no solution

(b) x < -1

(c) -1 < x < 1

(d) x > 1

► (a) no solution

15. What is the region represented by x > 0 and y < 0?

16. What are the integer values of x which satisfy the inequalities x > − 2 and x ≤ 2 ?

(a) - 1 , 0 , 1 , 2, 3

(b) - 1 ,0 ,1 , 2

(c) 1 , 2, 3, 4

(d) None of these

► (b) - 1 ,0 ,1 , 2

17. The solution set for | 3x − 2 | ≤ 1/2

(a) [2/3 , 2/3]

(b) [5/6 , 1/2]

(c) [1/2 ,5/6]

(d) None of these

► (c) [1/2 ,5/6]

18. The inequations -4x+1≥0 and 3-4x<0 have the common solutions given by

(a) {}

(b) {0,2}

(c) {-2,2}

(d) None of these

► (d) None of these

19. Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than 40.

(a) (11 , 13) , (13 , 15) , (15 , 17) , (17 , 21)

(b) (9 , 11) , (13 , 15) , (15 , 17) , (17 , 19)

(c) (11 , 13) , (13 , 15) , (17 , 19) , (19 , 21)

(d) (11 , 13) , (13 , 15) , (15 , 17) , (17 , 19)

► (d) (11 , 13) , (13 , 15) , (15 , 17) , (17 , 19)

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

(a) (1/2, 3/2)

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

(c) (3/2, 1/2)

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

► (b) (-1/2, 3/2)

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

(a) (2, 6)

(b) (2, 4) ∪ (4, 6)

(c) (2, 4) ∪ (4, ∞)

(d) (-∞, 4) ∪ (4, 6)

► (b) (2, 4) ∪ (4, 6)

22. Solve the inequality 3 − 2x ≤ 9

(a) x ≥ − 6

(b) x ≥ − 3

(c) x ≤ − 3

(d) None of these

► (b) x ≥ − 3

Hope the given MCQ Questions will help you in cracking exams with good marks. These Linear Inequalities MCQ Questions will help you in practising more and more questions in less time.