UNIT 2 PART 1

Question 1

What is a set? Example

Answer 1

unordered collection -> diff ele -> listed in braces

+ve numbers set

Question 2

Member of set

Answer 2

ele of set

object belongs to set

Question 3

Well defined set

Answer 3

member of set or not? by rules

Question 4

finite set

Answer 4

finite distinguishable members

Question 5

Denotion of sets and elements and belongs to?

Answer 5

capital + subscr -> set
lower -> member of set
not(q in A) = q not in A

Question 6

representation of sets

Answer 6

roster -> list all elements {,,}

set bulider -> characterized by prop -> {x/x is odd}

Question 7

What is inclusion?

Answer 7

every ele in A in B, A included in B or subset

C points to bigger

Question 8

What are equal sets?

Answer 8

A subset of B and B subset of A

Question 9

Proper subset

Answer 9

A sub of B AND A not equal to B

Question 10

Universal set

Answer 10

all sets sub of universal set

denoted by E

Question 11

Null set

Answer 11

no ele
phi
ex: p(x) and not p(x)

Question 12

power set

S1 = {a,b} -> P(S1) ?

Answer 12

collectiion of all subsets of A -> powerset of A

p(A) or 2^A

Question 13

Singleton set

Answer 13

only one ele in set

{S}

Question 14

Equivalent set

Answer 14

cardinalty same (no. of ele)

Question 15

Operations on sets

Answer 15

RUDISA
intersection
union
DISJOINT
relative complement
absolute complement
symmetric diff

Question 16

INTERSECTION

Answer 16

x sucj that x belongs to A and x belongs to B

CII

Question 17

DISJOINT

Answer 17

not intersection

Question 18

union

Answer 18

x sucj that x belongs to A or x belongs to B (or both)
CA
once

Question 19

Relative complement

Answer 19

rel comp B in A -> A-B

in A and not in B

Question 20

Absolute complement

Answer 20

E - A (not A)

Question 21

Symm diff

Answer 21

(A-B) U (B-A)
V -> exclusive disjunction
denoted by +

Question 22

venn diag of operations

Answer 22

.

Question 23

Ordered pair

Answer 23

two obj fixed oderd -> equality

Question 24

Orederd triplet

Answer 24

ordered pair -> first ele is ordered pair

Question 25

Cartesian pair

Answer 25

A * B -> x belongs to A, b belongs to B
NOT COMMUTATIVE
M * N ELE