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Akimi4 [234]
3 years ago
11

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
Mathematics
2 answers:
Sonja [21]3 years ago
6 0

Answer:

Option B is correct.

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

Step-by-step 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.

suter [353]3 years ago
4 0
<span>From the given question : 

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

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