# Which statement belongs in the intersection of the Venn diagram?

## Question: Which statement belongs at the intersection of the Venn diagram?

## Let A be the students who prefer burgers, B be the students who prefer hotdog and C be the students who prefer pizza.

## (a) The number of students that prefer both burgers or pizza and not a hotdog.

## (b) The number of students that prefer both burgers and pizza and not a hotdog.

## (c) The number of students that prefer a burger, pizza as well as hotdog.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets.

## Answer: (b), (c)

We will represent each statement using A, B, and C and Venn diagram symbols.

## Explanation:

(a) A ∪ C: The number of students that prefer both burgers or pizza and not a hotdog.

(b) A ∩ C: The number of students that prefer both burgers and pizza and not a hotdog.

(c) A ∩ B ∩ C: The number of students that prefer a burger, pizza as well as hotdog.

### So, statements (b) and (c) belongs at the intersection of the Venn diagram.

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