Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

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 :

GinnyAnsweridn
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.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.