Which of the following is an example of transitive property?

a. If x=5, then x-2=5-2
b. If x+5=y and y=-2, then x+5=-2
c. x+5=x+5
d. If y=x-2, then x-2=y

my answer is B. That is my best answer to this question because my book doesn't adequately explain what transitive property is.

In mathematics, a binary relation R over a set X is transitive if it holds for all a, b, and c in X, that if a is related to b and b is related to c, then a is related to c.

For example, "is greater than," "is at least as great as," and "is equal to" (equality) are transitive relations:

whenever A > B and B > C, then also A > C
whenever A ≥ B and B ≥ C, then also A ≥ C
whenever A = B and B = C, then also A = C

so my answer would be B also

thank you very much

no problem can you try to answer the chemistry question by Ivanka

The transitive property is a fundamental property of equality that states that if two quantities are equal to the same third quantity, then they are equal to each other. In other words, if A = B and B = C, then A = C.

To determine which of the options demonstrates the transitive property, let's break down each option:

a. If x=5, then x-2=5-2: This is an example of the reflexive property since it shows that an expression is equal to itself. It doesn't demonstrate the transitive property.

b. If x+5=y and y=-2, then x+5=-2: This is not an example of the transitive property. It demonstrates substitution, where the value of y is substituted into the equation, but it doesn't relate two separate equations to each other.

c. x+5=x+5: This is an example of the reflexive property as well since it shows that an expression is equal to itself. It doesn't demonstrate the transitive property.

d. If y=x-2, then x-2=y: This is the correct example of the transitive property. It states that if y is equal to x-2, and if x-2 is equal to y, then x-2 is equal to y. It establishes the relationship between two equations and demonstrates the transitive property.

Therefore, the correct answer is d.