CBSE  /  Class 11  /  Maths  /  Linear Inequalities

  • 1. 
    Sum of two rational numbers is ______ number.

  • rational
  • irrational
  • Integer
  • Both 1, 2 and 3

  • 2. 
    If x² = -4 then the value of x is

  • (-2, 2)
  • (-2, ∞)
  • (2, ∞)
  • No solution

  • 3. 
    Solve: (x + 1)² + (x² + 3x + 2)² = 0

  • x = -1, -2
  • x = -1
  • x = -2
  • None of these

  • 4. 
    If (x + 3)/(x – 2) > 1/2 then x lies in the interval

  • (-8, ∞)
  • (8, ∞)
  • (∞, -8)
  • (∞, 8)

  • 5. 
    The region of the XOY-plane represented by the inequalities x ≥ 6, y ≥ 2, 2x + y ≤ 10 is

  • unbounded
  • a polygon
  • none of these
  • exterior of a triangle

  • 6. 
    The interval in which f(x) = (x – 1) × (x – 2) × (x – 3) is negative is

  • x > 2
  • 2 < x and x < 1
  • 2 < x < 1 and x < 
  • 2 < x < 3 and x < 1

  • 7. 
    If -2 < 2x – 1 < 2 then the value of x lies in the interval

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

  • 8. 
    The solution of the inequality |x – 1| < 2 is

  • (1, ∞)
  • (-1, 3)
  • (1, -3)
  • (∞, 1)

  • 9. 
    If | x − 1| > 5, then

  • x∈(−∞, −4)∪(6, ∞]
  • x∈[6, ∞)
  • x∈(6, ∞)
  • x∈(6, ∞)

  • 10. 
    The solution of |2/(x – 4)| > 1 where x ≠ 4 is

  • (2, 6)
  • (2, 4) ∪ (4, 6)
  • (2, 4) ∪ (4, ∞)
  • (-∞, 4) ∪ (4, 6)
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