# Name the property of Equality that justifies the statement:

Name the property of Equality that justifies the statement: If p=q, then p-r = q - r

Subtraction Property

Explanation:

p=q

1=1

1-1=1-1 -> 0=0

Addition property of equality  that justifies this statement if p=q then p+s=q+s

Step-by-step explanation:

Addition property of equality states that you add the same number to both sides of an equation.

For example

If a = b then;

a+c = b+c

As per the statement:

if p=q

then;

p+s=q+s

⇒Addition property of equality justifies this statement.

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.

Symmetric property of equality

Step-by-step 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

by symmetric property of equality,

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

Symmetric property

Step-by-step explanation:

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

If p = q, then q = p. is symetric property