Question

Name the property of equality that justifies the statement: if p=q, then q=p

Answer 1

Symmetric property of equality

Explanation:

Symmetric property of equality states that:

if a = b

then;

b = a

For example:

if 7 = x+y

then:

x+y =7

As per the statement:

if
`p = q`

by symmetric property of equality,

`q= p`

Therefore, Symmetric property of equality that justifies the statement: if p=q, then q=p

Answer 2

Answer : - Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p which means if we interchange the sides of an equation then the equation is still a true statement .

For example :-

1. We know that 4+5 =9 then by symmetric property we can also say that 9=4+5.

2. If 5x+5=7 then by symmetric property of inequality 7=5x+5.