Math Ch 2.1

For the set C ​= ​{​}, determine ​n(C​).

n(C) = 0

Match the following set with the appropriate description. {2, 4, 8, 16, 32}

The set of the five least positive integer powers of 2.

For the set D ​= ​{3, 5, 7, 9, 12​}, determine ​n(D​).

n(D) = 5

Give a word description for the following set. {1/2, 2/3, 3/4, 4/5,...}

n/n+1

List all the elements of the following set. Use set notation and the listing method to describe the set. {x|x is an odd integer less than -4 and 3}

{-3,-1,1}

List all the elements of the following set. Use set notation and the listing method to describe the set. {x|x is an even whole number less than 14}

{0,2,4,6,8,10,12}

Write a description of the set. B={March,May}

B is the set of months that begin with M.

List all the elements of the following set. Use set notation and the listing method to describe the set. {x|x is an even whole number less than 11}

{0,2,4,6,8,10}

Match the following set with the appropriate description. {1, 3, 5, 7, 9}

The set of odd positive integers less than 10.

Identify the following set as finite or infinite. {3,6,9,12,...,915}

The set is finite because the number of elements in the set is a whole number.

Identify the following set as finite or infinite. {x|x is a real number larger than 6}

The set is finite because the number of elements in the set is not a whole number.

Identify the following set as finite or infinite. {10,20,30,40,...}

The set is infinite because the number of elements in the set is not a whole number.

Identify the following set as finite or infinite. {x|x is a natural number greater than 58}

The set is infinite because the number of elements in the set is not a whole number.

Identify the following set as finite or infinite. {x|x is a real number}

The set is infinite because the number of elements in the set is not a whole number.

Determine whether the set is well defined {x|x

The set is not well defined because the membership is a matter of interpretation.

Determine whether the set is well defined. {x|x is a negative integer}

The set is well defined because membership can be clearly determined

Give a word description for the set below. {-15,-14,-13,...,13,14,15}

The set of all integers between -16 and 16

Match the following set with the appropriate description. {..., -4, -3, -2, -1}

The set of all negative numbers.

Match the following set with the appropriate description. {2, 4, 6, 8, 10}

The set of the five least positive integer multiples of 2.

Find the cardinal number for the following sets. A​ =​ {101​, 102​, 103​, 104​,..., 132​} B​ = ​{101, 103​, 105, ​..., 201​}

n(A) = 32 n(B) = 51

Denote the following set by the listing method. {x|x is a reciprocal of a natural number}

{1,1/2,1/3,1/4,1/5}

Denote the following set by the listing method. {x|x is a positive multiple of 3}

{3,6,9,12,15,...}

List all the elements of the following set. Use set notation and the listing method to describe the set. {50, 47, 44, ...., 29}

{50,47,44,41,38,35,32,29}

List all the elements of the following set. Use set notation and the listing method to describe the set. The set of all whole numbers greater than 8 and less than 13.

{9,10,11,12}

Denote the following set by the listing method. {x|x is a positive integer power of 9}

{9,81,721,6561,...}

Denote the following set by the listing method. The set of the great lakes.

{Superior, Michigan, Huron, Erie, Ontario}

Denote the set below by​ set-builder notation, using x as the variable. {70,80,90,...190}

{x|x is a multiple of 10 strictly between 60 and 200}

Denote the following set by​ set-builder notation, using x as the variable. the set of all rational numbers.

{x|x is a rational number}

Denote the following set by​ set-builder notation, using x as the variable. {1,3,5,...,79}

{x|x is an odd natural number less than 80}