Single Choice

If A and B are disjoint then $$\displaystyle \left ( A\cap B \right ){}'=$$_______

A$$A$$
B$$B$$
C$$\displaystyle \phi $$
D$$\displaystyle \mu $$
Correct Answer

Solution

When A and B are disjoint sets, they do not have any overlapping region as shown in the figure.

So, $$ (A \cap B) = \phi $$

And $$ {(A \cap B)}^{`} = \mu - \phi = \mu $$ will be the complete region of the universal set as there is no overlapping region of sets A and B


SIMILAR QUESTIONS

Sets, Relations and Functions

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In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

Sets, Relations and Functions

In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

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