Practice the Important Class 11 Maths MCQ Questions of Linear Inequalities, which are given here. Go through the page given below to get the important MCQ Questions of class 11 Maths. In this chapter, students can learn how to derive the solution for a linear inequality, representation of the solution in the number line, and its graphical representation.
Explore MCQ Questions of class 11 Maths with answers furnished with detailed solutions by looking underneath.
Practice MCQ Questions for class 11 Maths Chapter-Wise
1. Sum of two rational numbers is ______ number.
(a) rational
(b) irrational
(c) Integer
(d) Both 1, 2 and 3
2. Solve: (x + 1)2 + (x2 + 3x + 2)2 = 0
(a) x = -1, -2
(b) x = -1
(c) x = -2
(d) None of these
3. If ∣x−3∣<2x+9, then x lies in the interval
(a) (−∞,−2)
(b) (−2,0)
(c) (−2,∞)
(d) (2,∞)
4. If (x + 3)/(x – 2) > 1/2 then x lies in the interval
(a) (-8, ∞)
(b) (8, ∞)
(c) (∞, -8)
(d) (∞, 8)
5. The region represented by the inequalities x≥6,y≥2,2x+y≤10,x≥0,y≥0 is
(a) unbounded
(b) a polygon
(c) a triangle
(d) None of these
6.The interval in which f(x) = (x – 1) × (x – 2) × (x – 3) is negative is
(a) x > 2
(b) 2 < x and x < 1
(c) 2 < x < 1 and x < 3
(d) 2 < x < 3 and x < 1
7. 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)
8. The solution of the inequality |x – 1| < 2 is
(a) (1, ∞)
(b) (-1, 3)
(c) (1, -3)
(d) (∞, 1)
9. If | x − 1| > 5, then
(a) x∈(−∞, −4)∪(6, ∞]
(b) x∈[6, ∞)
(c) x∈(6, ∞)
(d) x∈(−∞, −4)∪(6, ∞)
10. 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)
11. The solution of the -12 < (4 -3x)/(-5) < 2 is
(a) 56/3 < x < 14/3
(b) -56/3 < x < -14/3
(c) 56/3 < x < -14/3
(d) -56/3 < x < 14/3
12. Solve: |x – 3| < 5
(a) (2, 8)
(b) (-2, 8)
(c) (8, 2)
(d) (8, -2)
13. The graph of the inequations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is
(a) none of these
(b) interior of a triangle including the points on the sides
(c) in the 2nd quadrant
(d) exterior of a triangle
14. If |x| < 5 then the value of x lies in the interval
(a) (-∞, -5)
(b) (∞, 5)
(c) (-5, ∞)
(d) (-5, 5)
15. If x2 = 4 then the value of x is
(a) -2
(b) 2
(c) -2, 2
(d) None of these
16. Solve: 1 ≤ |x – 1| ≤ 3
(a) [-2, 0]
(b) [2, 4]
(c) [-2, 0] ∪ [2, 4]
(d) None of these
17. The function f(x)=∣x∣ at x=0 is:
(a) continuous but non-differentiable
(b) discontinuous and differentiable
(c) discontinuous and non-differentiable
(d) continuous and differentiable
18. If x is real number and |x| < 3, then
(a) x ≥ 3
(b) –3 < x < 3
(c) x ≤ -3
(d) -3 ≤ x ≤ 3
19. The integral value of x which satisfies the inequality x4−3x3−x+3<0 is
(a) 0
(b) 1
(c) 2
(d) 3
20. The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then
(a) breadth > 20 cm
(b) length < 20 cm
(c) breadth x ≥ 20 cm
(d) length ≤ 20 cm