Answer:
1. option C, i.e., symmetric property.
2. option B, i.e., Integer
3. option D, i.e., zero product property
Step-by-step explanation:
Symmetric property: According to this property it a=b the b=a.
By symmetric property, we can say that, if y=7 then 7=y.
Therefore, the correct option is C, i.e., symmetric property.
Closure property: According to this property, if a∈S and b∈S, then a*b∈S.
Subtraction of natural numbers is not always natural.
[tex]1\in N,2\in 2, 1-2=-1\notin N[/tex]
Subtraction of integers is always integer.
Subtraction of irrational number is not always irrational number.
[tex]\sqrt 2\in Q, \sqrt 2-\sqrt 2=0\notin Q[/tex]
Subtraction of odd number is always even.
Therefore, the correct option is B, i.e., Integer.
Given statement is (a-b)*0=0.
According to zero product property if ab=0, then a=0 or b=0.
So, the given statement is true by zero product property.
Therefore, the correct option is D, i.e., zero product property.
