NCERT Class 11 Mathematics Solutions: Chapter 1 –Sets Miscellaneous Exercise Part 3

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In figure intersection and union properties are given. — Intersection and Union Properties

In figure intersection and union properties are given.

1. Show that if , then .

Answer:

Here, to show ,

Let

2. Assume that Show that .

Answer:

Here, to show

Let

, for some

Now,

Similarly,

2. Is it true that for any sets and , ? Justify your answer.

Answer.

False

Consider,