Question

plzz answer my question fast......... all

Answer 1

67)(d)2^m
70)(b)Ø
71)(b)A∪B'

Answer 2

67) If A is a set then

n(A) is the cardinal number of the set A = number of elements in set A

and P(A) is called power set of A.

Power set = p(A) = set of all subsets of set A
So, if number of elements in set A = m

n(A) = m

Number of subsets of power set = 2^m
Answer is Option 4.
68) We have the range [ a,b ]
This means that any real number x will have a value lying in the range [a,b]
As it has square brackets, so a and b will also be in the range, so we have
{ x: a ≤ x ≤ b }
Answer is Option 3.
69) Here we have range (a,b)
This means that any real number x will have a value lying in the range (a,b)
As it has round brackets, so a and b will not be in the range, so we have
{ x: a < x < b }
Answer is Option 1.
70) A ∩ A'
This indicates the intersection of set A with the set "not A"
In set "not A", all sets will be included except A, so an intersection for A and "not A" will be null set i.e. ∅
Answer is Option 2
71) ( A ∩ B )'
This indicates the set that contains all areas except the intersection of A and B, so
excluding the part of intersection of A and B from all, is our answer
So, A' will contain all except A, and B' will contain all except B, and the union of A' and B' will contain all except intersection of A and B.
So, (A ∩ B)' = A' ∪ B'
Answer is Option 1.