Linear Inequalities

Class 11 · Mathematics

56 questions23 easy21 medium12 hard

Sample Questions

Q1.Which point is in the solution region of 2x + y ≤ 4?

  • A(3, 2)
  • B(1, 1)
  • C(2, 3)
  • D(4, 0)

Q2.The solution of 2x – 3 < 7 is:

  • Ax < 5
  • Bx > 5
  • Cx < 2
  • Dx > 2

Q3.The solution of |2x – 3| ≤ 5 is:

  • A–1 ≤ x ≤ 4
  • Bx ≤ –1 or x ≥ 4
  • C–4 ≤ x ≤ 1
  • Dx ≤ –4 or x ≥ 1

Q4.A shopkeeper blends 2 types of coffee: type A at ₹200/kg and type B at ₹300/kg. The blend must cost between ₹220 and ₹260 per kg. If x kg of A per kg of B, what are the constraints?

  • A200x + 300 ≥ 220(x+1) and 200x + 300 ≤ 260(x+1)
  • B200 + 300x ≥ 220 and 300x ≤ 260
  • C200x ≥ 220 and 300x ≤ 260
  • D220(x+1) ≥ 200x + 300 ≥ 260(x+1)

Q5.The union of solutions of x > 2 and x > 5 is:

  • Ax > 5
  • Bx > 2
  • C2 < x < 5
  • Dx > 7

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Graphical representationGraphical solution of two-variable inequalitiesInequalities and their notationLinear inequalities in one variableLinear inequalities in two variablesSolution of system of inequalitiesSolving linear inequalitiesWord problems on linear inequalities

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