Subjective Type

Represent set A, B, C such that $$A \subset B, A \cap C = \phi$$ and $$B \cap C \neq \phi$$ by Venn diagram. The number of separate regions representing $$A \cup (B\cap C)$$ is/are:

Solution

As $$A$$ is a subset of $$B$$, we draw $$A$$ inside $$B$$.

Since $$ A \cap C $$ is a null set, and $$ B \cap C $$ is not a null set we draw $$C$$ such that it intersects $$B$$ but not $$A$$

The shaded region represents $$A\,\cup\,(B\,\cap\,C)$$. Hence, there are two separate regions.

SIMILAR QUESTIONS

Sets, Relations and Functions

If $$ A $$ and $$B$$ are subsets of a set $$X$$, then what is $$(A\cap (X-B))\cup B$$ equal to

Sets, Relations and Functions

Let $$P$$ be the set of points inside the square, $$Q$$ be the set of points inside the triangle and $$R$$ be the set of points inside the circle. If the triangle and circle intersect each other and are contained in the square then,

Sets, Relations and Functions

Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$A \cup (B \cap C)$$

Sets, Relations and Functions

The Venn diagram shows sets $$\xi, P$$ and $$Q$$ The shaded region in the Venn diagram represents set

Sets, Relations and Functions

In the Venn diagram, $$\xi = F\cup G\cup H$$. The shaded region in the diagram represents set

Sets, Relations and Functions

The Venn diagram shows the relationship between sets $$\xi, P, Q$$ and $$R$$. The shaded region in the diagram represents set

Sets, Relations and Functions

The Venn diagram shows sets P, Q and R with regions labelled, I, II, III and IV. State the region which represents set $$[P\cap (Q\cup R)']$$

Sets, Relations and Functions

In the Venn diagram, $$\xi = F\cup G\cup H$$. The shaded region represents

Sets, Relations and Functions

Shaded portion of the following Venn diagram represents :

Sets, Relations and Functions

Which of Venn diagram represents set $$ A - ( B \cap C ) $$ is :

Contact Details