Question

Name the property of equality that justifies the following statement. If p = q, then p - r = q - r A) Multiplication Property . B) Subtraction Property . C) Symmetric Property . D) Reflexive Property

Answer 1

From the given question :

If,
p = q
Then,
p - r = q - r

Here,
The commutative property of subtraction has been used.
But,
Subtraction is not commutative over real numbers since we can't say that a – b = b – a for all real numbers a and b.
Hence,
The right answer is :
B) Subtraction Property .

Answer 2

Option B is correct.

The property of equality that justifies the following statement is; Subtraction property.

Explanation:

Subtraction property of equality states that you subtract the same number from both sides of an equation.

i.e, if a=b then, a-c=b -c

Given the statement:

if p =q

then, by definition of subtraction Property

Subtract r from both sides of an equation we get,

`p-r = q -r`

Therefore, the property of equality that justifies the following statement is; Subtraction property.