Let the universal set U, be a set of all students of your school, A is the set of boys, B is the set of girls and C is the set of students participating in sports. Describe the following sets in
(i) B $\cap$ C
(ii) A $-$ C
(iii) A $\cup$ (B $\cap$ C).

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Solution

(i) $B \cap C$
It represents the set of girl students who participated in the sports event.
Venn diagram:

(ii) A $-$ C
It represents the set of boys who did not participate in the sports event.

Venn diagram:

(iii) $A \cup (B \cap C)$
It represents the set of boys or those girls who participated in the sports event.

Venn diagram:

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Let the universal set U, be a set of all students of your school, A is the set of boys, B is the set of girls and C is the set of students participating in sports. Describe the following sets in (i) B ∩ C (ii) A - C (iii) A ∪ (B∩C).

Let the universal set U, be a set of all students of your school, A is the set of boys, B is the set of girls and C is the set of students participating in sports. Describe the following sets in
(i) B $\cap$ C
(ii) A $-$ C
(iii) A $\cup$ (B $\cap$ C).