Homework 2.1 for test 2

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Choose the correct description of the set. A=​{5​,10​,15​,20​,...}

A​=​{x | x ∈ N and x is a multiple of 5​}

Write a description of the set. B=​{1, 2, 3, 4, 5, 6, 7​}

B is the set of natural numbers less than or equal to 7

Write a description of the set. B=​{Spring, Summer, Fall, Winter​}

B is the set of seasons

Express the set in roster form. B={x I XEN and > 8}

B={8,9,10,11,...}

Express the following set in​ set-builder notation. B={7,8,9,10,11,12,13,14}

B=​{x | x∈N and 7≤x≤14​}

Express the given set in roster form. E={ X I XEN and 5 < x< 87}

E= {5,6,7,8,....,86}

Express the following set in​ set-builder notation. E is the set of odd integers.

E={ x I x is an integer and x is odd}

Determine whether sets A and B are​ equal, equivalent,​ both, or neither. A is the set of letters in the word ​'deaf​'. B is the set of letters in the word ​'link​'.

Equivalent

Determine whether the following set is finite or infinite. A= {3,8,13,18,.....}

Infinite

Determine whether the pair of sets is​ equal, equivalent,​ both, or neither. A={calculus, algebra, geometry} B={ algebra,literature, geometry, calculus}

Neither

Determine whether the pair of sets is​ equal, equivalent,​ both, or neither. A={history, chemistry, computer science} B={ chemistry, geometry, computer science, history}

Neither

Determine whether the following statement is true or false. {m}∈​{t​,z​,p​,m​,v​}

No

Determine whether the statement is true or false. 3E{x I xen and x is odd}

True

Determine whether the following statement is true or false. t∈ ​{t​,q​,h​,c​,s​}

Yes

Determine whether the set is finite or infinite {24,32,40,....., 56}

finite

Determine whether the set is finite or infinite. The set of odd numbers greater than 23

infinite

For the set A​= ​{4, 6​},determine ​n(A​).

n(A)=2

For the set D= {6, 8, 10, 12, 15, 20​}, determine ​n(D​).

n(D)=6

Determine if the set is well defined or not well defined. The set of the five best U.S. vice presidents

not well defined.

Determine if the set is well defined or not well defined. The set of U.S. airports

well defined

Determine whether the set is well defined. The set of current NFL players

well defined

Express the set in roster form. The set of natural numbers between 19 and 156

{20,21,22,23,...,155}

Use roster form to write the elements of the following​ set, or state that the set has no elements. The seasons

{Spring,summer,fall,winter}

Express the set in roster form. The set of continents whose name begins with the letter L


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