Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (Enter EMPTY for the empty set.)

The set of negative integers greater than6.

The set of whole numbers less than12.

The set of natural numbersxthat satisfyx+6=5

Use set-builder notation to write the following set.

{6,12,18}

{x|xis a multiple of5and5<x<19}{x|xis a multiple of6and6<x<18}none of these{x|xis a multiple of6and5<x<19}{x|xis a multiple of5and6<x<18}

State whether the given pair of sets are equal, equivalent, both, or neither.

{2,4,8}; {II,IV,VIII}

equal

equivalent

both

neither

Determine whether the set is a well-defined set.

The set ofsmallcountries

well-defined

not well-defined

During recent years, the number of U.S. charter schools has increased dramatically. The following horizontal bar graph shows the eight states with the greatest percent of U.S. charter schools in the fall of 2004.Use the data in the above graph and the roster method to represent the set.

The set of states in which more than8%of the schools are charter schools

{Michigan, Texas, Florida, Arizona, California}

{Arizona, California}

{Ohio, Wisconsin, Michigan, Texas, Florida, Arizona, California}

none of these

{Florida, Arizona, California}

The following table shows the average U.S. movie theatre ticket prices for the years from 1985 to 2004.Average U.S. Movie Theatre

Ticket Prices

YearPriceYearPrice1985$3.551995$4.3519863.7119964.4219873.9119974.5919884.1119984.6919893.9919995.0619904.2220005.3919914.2120015.6519924.1520025.8019934.1420036.0319944.0820046.21

Use the information in the table and the roster method to represent the set.

{x|xis a year in the table for which the average ticket price was less than$3.80}

none of these

{1985, 1986}

{1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994}

{1985, 1986, 1987, 1988, 1989, 1992, 1993, 1994}

{1985, 1986, 1987, 1989}

Use set-builder notation to write the following set.

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{x|xNandx> 0}

{x|xNandx> 1}

none of these{x|xNandx< 12}

{x|xNandx< 13}

Use set-builder notation to write the following set.

{1, 4, 9, 16, 25, 36, 49, 64, 81}

{x|xis a positive square number less than or equal to 100}{x|xis a positive square number greater than or equal to 1}{x|xis a positive number less than or equal to 9}{x|xis a positive square number less than or equal to 81}none of these

State whether the given pair of sets are equal, equivalent, both, or neither.

{4,7}; {6,1}

equal

neither equivalent nor equal

both equivalent and equal

equivalent

Determine whether the set is a well-defined set.

The set ofevenintegers

well-defined

not well-defined

The following table shows the average U.S. movie theatre ticket prices for the years from 1985 to 2004.Average U.S. Movie Theatre

Ticket Prices

YearPriceYearPrice1985$3.551995$4.3519863.7119964.4219873.9119974.5919884.1119984.6919893.9919995.0619904.2220005.3919914.2120015.6519924.1520025.8019934.1420036.0319944.0820046.21

Use the information in the table and the roster method to represent the set. (Enter EMPTY orfor the empty set.)

{x|xis a year in the table for which the average ticket price was greater than$3.70but less than$4.10}

During recent years, the number of U.S. charter schools has increased dramatically. The following horizontal bar graph shows the eight states with the greatest percent of U.S. charter schools in the fall of 2004.Use the data in the above graph and the roster method to represent the set.

{x|xis one of thefourstates with the greatest percent of charter schools}

{Texas, Florida, Arizona, California}

{Arizona, California}

{Florida, Arizona, California}

{Ohio, Wisconsin, Michigan, Texas, Florida, Arizona, California}

none of these

Can you give an explanation for each question

thank you