Find your Math Personality!

Find your Math Personality!

# 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.

**Solution:**

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.

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

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

(b) A ∩ C ∩** **B': 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, statement (c) belongs to the intersection of the Venn diagram.

## 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.

**Summary:**

Statement (c) - The number of students that prefer a burger, pizza as well as hotdog belongs to the intersection of the Venn diagram.

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