Question
What answer represents the transitive property?
a
4x+2y=2y+4x
b
If x = 10 and 10 = y then 10 = 10
c
If x = 9 and y = 9, then x=y
a
4x+2y=2y+4x
b
If x = 10 and 10 = y then 10 = 10
c
If x = 9 and y = 9, then x=y
Answers
GPT-4o mini
The transitive property states that if \( a = b \) and \( b = c \), then \( a = c \).
Among the options given:
- **Option a** shows the commutative property of addition (the order does not matter).
- **Option b** illustrates the transitive property explicitly, where if \( x = 10 \) and \( 10 = y \), then it follows that \( x = y \).
- **Option c** demonstrates equality but does not explicitly describe the transitive relationship between different quantities.
Therefore, the answer that best represents the transitive property is:
**b: If x = 10 and 10 = y then 10 = y.**
Among the options given:
- **Option a** shows the commutative property of addition (the order does not matter).
- **Option b** illustrates the transitive property explicitly, where if \( x = 10 \) and \( 10 = y \), then it follows that \( x = y \).
- **Option c** demonstrates equality but does not explicitly describe the transitive relationship between different quantities.
Therefore, the answer that best represents the transitive property is:
**b: If x = 10 and 10 = y then 10 = y.**