Question

1.Which property justifies the statement if y=7 then 7=y?

Answer 1

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.

$1\in N,2\in 2, 1-2=-1\notin N$

Subtraction of integers is always integer.

Subtraction of irrational number is not always irrational number.

$\sqrt 2\in Q, \sqrt 2-\sqrt 2=0\notin Q$

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.