NCERT Class 11 Mathematics Solutions: Chapter 6 – Linear Inequalities Miscellaneous Exercise Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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In Figure Solution of Linear Inequalities is Defined

1. . Solve the inequalities and represent the solution graphically on number line:


… (1)

… (2)

From (1) and (2) , it can be concluded that the solution set for the given system of inequalities is .

The solution of the given system of inequalities can be represented on number line as

Given System of Inequalities

2. A solution is to be kept between and . What is the range in temperature in degree Celsius if the Celsius/Fahrenheit conversion formula is given by ?


Since the solution is to be kept between and


So, the required range of temperature in degree Celsius is between .