NCERT/Class 11/Mathematics/Linear Inequalities

Linear Inequalities

Class 11 · Mathematics

56 questions23 easy21 medium12 hard

Sample Questions

Q1.The system of inequalities x > 2 and x < 5 has solution:

  • Ax > 5
  • B2 < x < 5
  • Cx < 2 or x > 5
  • DNo solution

Q2.If a > b and b > c, then:

  • Aa < c
  • Ba = c
  • Ca > c
  • DCannot determine

Q3.A company can produce at most 100 units per day. Each unit costs ₹50 to produce and sells for ₹80. Fixed costs are ₹1000. For what minimum production level x does the company break even?

  • A34
  • B33
  • C35
  • D50

Q4.The union of solutions of x > 2 and x > 5 is:

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

Q5.The solution of |3x – 5| > 7 is:

  • A–2/3 < x < 4
  • Bx < –2/3 or x > 4
  • Cx > 4
  • Dx < –2/3

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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