MMW, SETS Flashcards
“∈” MEANS
AN ELEMENT OF A SET/ BELONGS TO A SET
“∉” MEANS
NOT AN ELEMENT OF A SET/ DOES NOT BELONG TO A SET
SPECIFIES A SET BY WRITING ALL OF ITS ELEMENTS BETWEEN BRACES
SET- ROSTER NOTATION
”{ a, b }” MEANS
A SET (CONTAINING A AND B)
”{ a, b}”, a AND b ARE CALLED:
ELEMENTS (OF THE SET)
”{ 1, 2, 3, …, 500}”; WHAT IS “…” CALLED? (IT IS READ ‘AND SO FORTH’)
ELLIPSIS
{1, 2, 3, …, } IS CALLED ____ SET
INFINITE
SAYS THAT A SET IS COMPLETELY DETERMINED BY WHAT ITS ELEMENTS ARE- NOT THE ORDER IN WHICH THEY MIGHT BE ENLISTED OR THE FACT THAT SOME ELEMENTS MIGHT BE LISTED MORE THAN ONCE.
AXIOMS OF EXTENSION
SYMBOL “R” REPRESENT
SET OF ALL REAL NUMBERS
SYMBOL “Z” REPRESENT
SET OF ALL INTEGERS
SYMBOL “Q” REPRESENT
SET OF ALL RATIONAL NUMBERS OR QUOTIENTS OF INTEGERS
“0” IN THE NUMBER LINE IS CALLED
MIDDLE POINT OR ORIGIN
EACH POINT TO THE LEFT OF ORIGIN IS CORRESPONDS TO:
NEGATIVE REAL NUMBERS
EACH POINT TO THE RIGHT OF ORIGIN CORRESPONDS TO:
POSITIVE REAL NUMBERS
TRUE OR FALSE: 0 IS A POSITIVE NUMBER
FALSE; ZERO IS NEITHER POSITIVE NOR NEGATIVE