mathematical language and symbols

Question 1

says that a certain property is true for all elements in a set. ex. all positive numbers are greater than zero.

Answer 1

universal statement

Question 2

says that if one thing is true then some other thing also has to be true.

Answer 2

conditional statement

Question 3

if a is a dog, then a is a mammal

Answer 3

universal conditional statements

Question 4

statement that is universal because its first part says that a certain property is true for all objects of a given type, and it is existential because its second part asserts the existence of something

Answer 4

universal existential statements

Question 5

statement that is existential because its first part asserts that a certain object exists and is universal because its second part says that the object satisfies a certain property for all things of a certain kind

Answer 5

existential universal statement

Question 6

it is a collection of well-defined objects

Answer 6

set

Question 7

objects in a set

Answer 7

elements

Question 8

the basic notion of a set was first considered by

Answer 8

Georg Ferdinand Ludwig Philipp Cantor (1845-1918)

Question 9

useful technique for illustrating set relationships

Answer 9

venn diagram

Question 10

he invented venn diagram

Answer 10

john venn (1834-1923)

Question 11

symbolized by U and is a set that contains all the elements

Answer 11

universal set

Question 12

either all of the elements of a set or just some of the elements

Answer 12

subset

Question 13

subset that contains some, but not all, of the elements of the original set

Answer 13

proper subset

Question 14

set of all the elements in the universal set that are not in set A

Answer 14

complement or A’

Question 15

set containing all the elements that are common to both sets

Answer 15

intersection of sets 1 and b

Question 16

set containing all the elements that are members of set a or set b or both sets

Answer 16

union