NCERT Class 11 Mathematics Solutions: Chapter 6 –Linear Inequalities Miscellaneous Exercise Part 5

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Properties of inequalities

Properties of Inequalities

Properties of inequalities

1. A solution of boric acid is to be diluted by adding a boric acid solution to it. The resulting mixture is to be more than but less than boric acid. If we have litres of the solution, how many litres of the solution will have to be added?

Answer:

Consider litres of boric acid solution are required to be added.

Then, total mixture litres

This resulting mixture is to be more than but less than boric acid.

So, the number of litres of of boric acid solution that is to be added will have to be more than litres but less than litres.

2. How many litres of water will have to be added to litres of the solution of acid so that the resulting mixture will contain more than but less than acid content?

Answer:

Consider litres of water is required to be added.

Then, total mixture litres

It is evident that the amount of acid contained in the resulting mixture is of litres.

This resulting mixture will contain more than but less than acid content.

So, the required number of litres of water that is to be added will have to be more than but less than .