Name the property of equality that justifies this statement: if a = b, then b = a.

Solution:

According to this property if (p, q) ∈ R, then (q, p) ∈ R should also hold true.

Let's consider the same relation R. Again this relation is symmetric as if (P, Q) ∈ R ⇒ (Q, P) ∈ R

For example -

2 + 2 = 4

4 = 2 + 2

Here a = b then b = a

3 + 3 = 6

6 = 3 + 3

Here a = b then b = a

Therefore, the property of equality that justifies this statement: if a = b, then b = a is a symmetric property.

Name the property of equality that justifies this statement: if a = b, then b = a.

Summary:

The property of equality that justifies this statement: if a = b, then b = a is a symmetric property.