NCERT Solutions for Class 11 Maths Chapter 6

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequations रैखिक असामिकाएँ in PDF format free DOWNLOAD. All solutions are in accordance with Latest CBSE Curriculum 2018-19 for CBSE, UP Board, MP Board, Gujrat Board and all other board following NCERT Books.


NCERT Solutions for Class 11 Maths Chapter 6

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Class 11 Maths Chapter 6 Linear Inequations Solutions




Important Terms Related to Linear Inequations

  • Solution Set: A solution to an inequality is a number which when substituted for the variable, makes the inequality true. The set of all solutions of an inequality is called the solution set of the inequality.
  • Replacement Set: The set from which values of the variable (involved in the inequality) are chosen is called replacement set.
  • Procedure to solve a linear inequality in one variables.
    1. Simplify both sides by removing graph symbols and collecting like terms.
    2. Remove fractions (or decimals) by multiplying both sides by appropriate factor (L.C.M of denomination or a power of 10 in case of decimals.)
    3. Isolate the variable on one side and all constants on the other side. Collect like terms whenever possible.
    4. Make the coefficient of the variable.
    5. Choose the solution set from the replacement set.



  • The graph of the inequality ax + by > c is one of the half planes and is called the solution region.
  • When the inequality involves the sign ≤ or ≥ then the points on the line are included in the solution region but if it has the sign < or > then the points on the line are not included in the solution region and it has to be drawn as a dotted line.
  • The common values of the variable form the required solution of the given system of linear inequalities in one variable.
  • The common part of coordinate plane is the required solution of the system of linear inequations in two variables when solved by graphical method.


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