quiz 2: Chapter 2.1-2.2

A set that contains no elements is called the empty/null set and is represented by {} or Ø.

A set that contains no elements is called the​ _______ set and is represented by​ _______.

The set is finite with a cardinality of 11.

Determine whether the set is finite or infinite. The set of natural numbers less than 12.

Proper subset

Emerging from their often unsavory reputation of the recent​ past, tattoos have gained increasing prominence as a form of body art and​ self-expression. A Harris poll conducted in 2008 estimated that 32 million​ Americans, or​ 14% of the adult​ population, have at least one tattoo. Is the set of people with math tattoos a subset or proper subset of the set of all people with​ tattoos? Assume not all people with tattoos chose math ones.

Psychology

Modern medical advances help doctors learn more about body​ systems, diseases, and related topics. It is helpful in research to classify things in sets when they have common characteristics. For​ example, A,​ B, AB, and O are classified as blood types. If a researcher is learning more about​ personalities, learning​ theory, and so​ forth, how would we classify those​ studies?

A ⊂ B sets A and B are not equal.

Set A is a proper subset of set​ B, expressed as___means that set A is a subset of set B and ____

Set A is a subset of set​ B, expressed as A⊆B, means that every element in set A is also an element in set B.

Set A is a subset of set​ B, expressed as​ _______, means that​ _______.

cardinal n(A).

The number of distinct elements in a set is called the___number of the set. If A represents the​ set, this number is represented by___

2 ^n

The number of subsets of a set with n elements is​ _______.

natural numbers.

The set {1,2,3,4,5,...} is called the set of​ _______.

the roster method, set-builder notation.

The set​ {California, Colorado,​ Connecticut} is expressed using____The set​ {x|x is a U.S.state whose name begins with the letter​ C} is expressed using____

an element

The symbol ∈ is used to indicate that an object is __of a set.

equal

Two sets that contain the same elements are called __ sets.

The statement is false. It should be changed to D⊆P.

Determine whether the following statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement. Upper D∈P Let P= the set of pierced Americans R= the set of pierced Republicans D=the set of pierced Democrats M​=the set of pierced Republican men W​=the set of pierced Republican women