Let set , the set of all natural numbers.

= { | is a multiple of 6 }

= { | is a multiple of 9 }

Which of the following numbers would appear in the gray region of the Venn diagram?

See the above Venn diagram. Which of the following sets is represented by the gray region?

Kayla used a popular social media website to survey her friends' hobbies. All of her friends either play sports or enjoy playing video games, and some of her friends do both.

What fraction of her friends only play sports?

Kayla used a popular social media website to survey her friends' hobbies. All of her friends either play sports or enjoy playing video games, and some of her friends do both.

What percentage of Kayla's friends play sports and video games?

The above Venn diagram represents survey respondents from a recent political poll. Based on the respondent's political affiliation, they were classified into group only, only or both groups.

What fraction of respondents were classified into only group ?

Ms. Dunn gave her class a survey to find out which states her student's have visited. Ms. Dunn was surprised to find that all of her student's had visited either New York City or Texas, and some of her student's had visited both locations.

The above Venn diagram represents the percentage of students who have visited only NYC, only Texas, and those who have visited both locations.

What ratio represents the number of students that have gone only to NYC, in comparison to the rest of the class?

The above Venn diagram represents the total number of respondents from a survey administered in . Respondents were categorized into only group , only group or both of the groups.

What fraction of the respondents were categorized into both groups?

The above Venn diagram represents the total number of respondents from a survey administered in . Respondents were categorized into only group , only group or both of the groups.

What percentage of respondents were categorized into only group

Kelly and Antonio are in a group together on a popular social media website. They realized that within the group they have mutual friendships as well as friendships exclusive of one another.

What ratio accurately represents the amount of friendships within the group that they do not have in common to those that they do have in common.

See the above Venn diagram. Which of the following sets is represented by the gray region?