NCERT Class 11 Mathematics Solutions: Chapter 6 –Linear Inequalities Miscellaneous Exercise Part 4

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In figure solution of linear inequalities is defined.

Solutions of Linear Inequalities

In figure solution of linear inequalities is defined.

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

Answer:

………………………………… (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.

Given system of inequalities point (-7,11).

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 ?

Answer:

Since the solution is to be kept between and

Putting

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