NCERT Class 11 Mathematics Solutions: Chapter 6 –Linear Inequalities Miscellaneous Exercise Part 2

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In figure solution of linear inequalities are shown.

Solutions of Linear Inequalities

In figure solution of linear inequalities are shown.

1. Solve the inequality

Answer:

So, the solution set for the given inequality is .

2. Solve the inequality

Answer:

So, the solution set for the given inequality is

3. Solve the inequality

Answer:

So, the solution set for the given inequality is .

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

Answer:

……………………….eq (1)

……………………….. eq (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

Representation of Number Lies.

Representation of number lies point (-5,5).