math 110 test 1

Intagers

-3,-2,-1,0,1,2,3

Whats the cardinality {3, 6, 9, 12, 15, ... , 429}

143

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {History, Psychology, Math, Physics}, B = {English, Chemistry, Drama, Math, Physics}, and C = {French, Psychology, Drama}. Find the following. n[A ∪ (B ∩ C)]

5

Given n(J) = 225, n(K) = 166 and n(J ∪ K) = 329, find n(J ∩ K).

62

(B ∩ A')

A hollow B filled in Middle clear

rational number

A number that can be written as a fraction

whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Natural Numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbers.

A U B

Union of A and B (all the data contained in set A or B or both).

A c B

all elements in set A are in set B ex: A (1,2,3,4) B (1,3,2,4,)

A ∩ B' ; A' ∪ B

not equal

Let U = {p, q, r, s, t}, D = {p, r, s, t}, E = {q, s}, F = {p, t}, and G = {s}. Determine whether the statement is true or false. F ⊂ D

true

U = {x | x I and −3 ≤ x ≤ 7}

{-3,-2,-1,0,1,2,3,4,5,6,7}

{x | x W and x < 5}

{0,1,2,3,4}

Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. {2, 4, 6, 7}

{2, 4, 6, 7}

{d, e, f, g} _____ {a, b, c, d, e, f, g}

⊆

A special-interest group has conducted a survey concerning a ban on hand guns. Note: A rifle is a gun, but it is not a hand gun. The survey yielded the following results for the 1000 households that responded. 269 own a hand gun. 445 own a rifle. 491 supported the ban on hand guns. 144 own both a hand gun and a rifle. 206 own a rifle but no hand gun and do not support the ban on hand guns. 72 own a hand gun and support the ban on hand guns. 52 own both a hand gun and a rifle and also support the ban on hand guns. only own a hand gun and do not support the ban on hand guns? do not own a gun and support the ban on hand guns? do not own a gun and do not support the ban on hand guns?

1. 105 2. 324 3. 106

During one month, a blood donation center found that 45.7% of the donors had the A antigen. 14.5% of the donors had the B antigen. 4.4% of the donors had the A antigen and the B antigen. 84.5% of the donors were Rh+. 87.5% of the donors had the B antigen or were Rh+. Find the percent of donors that have the A antigen or the B antigen. Find the percent of donors that have the B antigen and are Rh+.

1. 55.8% 2. 11.5%

198 investors had invested in both stocks and bonds.How many investors had invested only in stocks?

191

In a survey of 600 investors, it was reported that 389 had invested in stocks, 334 had invested in bonds, and 75 had not invested in either stocks or bonds.How many investors had invested in both stocks and bonds?

198

find subset (2,3,4,5,6,7,8,9)

256

find number of subsets

2^n

A n B

set of elements in common to both A and B ONLY ONES IN COMMON

cardinality of a set

the number of elements in a set

Let U = {3, 4, 5, 6, 7, 8, 9, 10}, A = {4, 6, 8}, B = {3, 4, 7, 10}, and C = {3, 5, 9}. Find the following. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ (B ∩ C')

{4,7,10}

let U = {5, 6, 7, 8, 9, 10, 11, 12}, A = {6, 8, 10}, B = {5, 6, 9, 12}, and C = {5, 7, 9} . Find the following. (Enter your answers as a comma-separated list.) (A ∪ B)'

{7,11}

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

{x | x N and x < 13}