MMW, SETS Flashcards

1
Q

“∈” MEANS

A

AN ELEMENT OF A SET/ BELONGS TO A SET

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2
Q

“∉” MEANS

A

NOT AN ELEMENT OF A SET/ DOES NOT BELONG TO A SET

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3
Q

SPECIFIES A SET BY WRITING ALL OF ITS ELEMENTS BETWEEN BRACES

A

SET- ROSTER NOTATION

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4
Q

”{ a, b }” MEANS

A

A SET (CONTAINING A AND B)

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5
Q

”{ a, b}”, a AND b ARE CALLED:

A

ELEMENTS (OF THE SET)

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6
Q

”{ 1, 2, 3, …, 500}”; WHAT IS “…” CALLED? (IT IS READ ‘AND SO FORTH’)

A

ELLIPSIS

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7
Q

{1, 2, 3, …, } IS CALLED ____ SET

A

INFINITE

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8
Q

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.

A

AXIOMS OF EXTENSION

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9
Q

SYMBOL “R” REPRESENT

A

SET OF ALL REAL NUMBERS

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10
Q

SYMBOL “Z” REPRESENT

A

SET OF ALL INTEGERS

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11
Q

SYMBOL “Q” REPRESENT

A

SET OF ALL RATIONAL NUMBERS OR QUOTIENTS OF INTEGERS

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12
Q

“0” IN THE NUMBER LINE IS CALLED

A

MIDDLE POINT OR ORIGIN

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13
Q

EACH POINT TO THE LEFT OF ORIGIN IS CORRESPONDS TO:

A

NEGATIVE REAL NUMBERS

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14
Q

EACH POINT TO THE RIGHT OF ORIGIN CORRESPONDS TO:

A

POSITIVE REAL NUMBERS

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15
Q

TRUE OR FALSE: 0 IS A POSITIVE NUMBER

A

FALSE; ZERO IS NEITHER POSITIVE NOR NEGATIVE

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15
Q

TRUE OR FALSE: 0 IS A POSITIVE NUMBER

A

FALSE; ZERO IS NEITHER POSITIVE NOR NEGATIVE

16
Q

3 PARTS OF A SET OF REAL NUMBERS:

A
  1. SET OF POSITIVE REAL NUMBERS
  2. SET OF NEGATIVE REAL NUMBERS
  3. ZERO
17
Q

REAL NUMBER LINE IS CALLED ____ BECAUSE IT IS IMAGINES TO HAVE NO HOLES

A

CONTINUOUS

18
Q

CORRESPONDS TO A COLLECTION OF POINTS LOCATED AT FIXED INTERVALS ALONG THE REAL NUMBER LINE

A

SET OF INTEGERS

19
Q

TRUE OR FALSE: NOT ALL INTEGERS ARE REAL NUMBERS

A

FALSE; EVERY INTEGER IS A REAL NUMBER, BECAUSE THE INTEGERS ARE ALL SEPARATED FROM EACH OTHER

20
Q

SET OF INTEGERS IS CALLED ___

A

DISCRETE

21
Q

COMES FROM THE DISTINCTION BETWEEN CONTINUOUS AND DISCRETE MATHEMATICAL OBJECTS

A

DISCRETE MATHEMATICS

22
Q

“Z+” REPRESENTS

A

SET OF POSITIVE INTEGERS