In the above Venn diagram, the universal set is defined as . Each of the eight letters is placed in its correct region.

What is ?

In a group of people, have a laptop and have a tablet. Of those people who have a laptop or a tablet, have both. How many people in the total group have neither a laptop nor a tablet?

In a group of plants, are green, have large leaves, and are both green and have large leaves. How many plants are green without large leaves?

In a group of people, have books, have pens, and have neither books nor pens. How many people in the group have only books?

Examine the above Venn diagram. Let universal set represent the set of all words in the English language.

Let be the set of all words whose last letter is a vowel. Let be the set of all words whose first letter is a consonant. Let be the set of all words exactly six letters in length.

Which of the following would be a subset of the set represented by the shaded region in the diagram?

Note: for purposes of this question, "Y" is considered a consonant.

Examine the above Venn diagram. Let be the universal set of the Presidents of the United States. is the set of all Presidents born in Virginia; is the set of all Presidents born after 1850; is the set of all Presidents whose first name was or is James.

James Abram Garfield was born in Ohio in 1831. In which region would he fall?

Examine the above Venn diagram. Let be the universal set of the Presidents of the United States. is the set of all Presidents born in Virginia; is the set of all Presidents born after 1850; is the set of all Presidents whose first name was or is James.

James Earl Carter was born in Georgia in 1924. In which region would he fall?

Examine the above Venn diagram. Let universal set represent the set of all words in the English language.

Let be the set of all words whose last letter is a consonant. Let be the set of all words whose first letter is a vowel. Let be the set of all words exactly five letters in length.

Which of the following would be a subset of the set represented by the shaded region in the diagram?

Note: for purposes of this question, "Y" is considered a consonant.

In a school of students, students take Greek, take Old English, and take neither. How many take both?

Let the universal set be the set of all positive integers. Define:

Examine the above Venn diagram. If each integer was to be placed in its correct region, which of the following would be placed in the gray area?