NCERT Class 11 Mathematics Solutions: Chapter 6 –Linear Inequalities Miscellaneous Exercise Part 3

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In figure solution of linear inequalities is defined.

Solution of Linear Inequalities

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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

The Given System of Inequalities

2. Solve the following 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