Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

18. Name the property of equality that justifies the following statement:

If [tex]p = q[/tex], then [tex]p - r = q - r[/tex].

A. Multiplication Property
B. Reflexive Property
C. Symmetric Property
D. Subtraction Property

Sagot :

GinnyAnswer
Certainly! Let's analyze the statement provided:

If [tex]\( p = q \)[/tex], then [tex]\( p - r = q - r \)[/tex].

To determine the property of equality that justifies this statement, we need to understand each property provided as options.

1. Multiplication Property: This property states that if [tex]\( p = q \)[/tex], then [tex]\( p \times r = q \times r \)[/tex]. Clearly, this involves multiplication, not subtraction.

2. Reflexive Property: This property states that any number is equal to itself, i.e., [tex]\( p = p \)[/tex]. It doesn't relate to the subtraction between two sides of an equation.

3. Symmetric Property: This property states that if [tex]\( p = q \)[/tex], then [tex]\( q = p \)[/tex]. It involves switching the sides of the equation, not using subtraction.

4. Subtraction Property: This property states that if [tex]\( p = q \)[/tex], then subtracting the same amount [tex]\( r \)[/tex] from both [tex]\( p \)[/tex] and [tex]\( q \)[/tex] results in [tex]\( p - r = q - r \)[/tex]. This exactly matches the given statement.

Therefore, the property of equality that justifies the statement "If [tex]\( p = q \)[/tex], then [tex]\( p - r = q - r \)[/tex]" is the Subtraction Property.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.