1)
a)0
Ans : False
Empty set does not contain any elements
b) {0}
Empty set is an element of set that contains only zero
So answer is false
c)
{0}
The empty set that contains nothing so set zero is not the subset of empty set
d) {0}
The set zero contains empty set so empty set is subset of zero set
Answer is true
e){0} {0}
The set containing zero element so zero elements belongs to set of zero not zero set{0}
So answer is false
F){0} {0}
A set is always not a subset of itself ,because the sets are completely identical
Given statment is false
G){0} subset {0}
Set is subset of itself
Answer is true
2)
a) { }
The empty set contains empty, so empty strings belongs to empty set
So true
b)
{ ,{ }}
The empty elements belongs to set and subset of empty
So answer is true
c){ } { }
The set containing elements, not containing sets
So answer is false
d){ } {{ }}
The empty set is an element of set
So answer is true
e){ } { ,{ }}
The empty string is subset of given set
So true
f){{ }} { ,{ }}
The empty string is subset of given set
So answer is true
G){{ }} {{} ,{}}
Answer is false
Proper set not equal sets
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