Which of the following statements is an illustration of the Transitive Property of Equality?
(1 point)
The Transitive Property of Equality is a fundamental rule in mathematics that states:
If a = b and b = c, then a = c.
To illustrate this property, consider the following example:
Let's say we know two equations:
1. If 5 = x
2. And x = 7
Using the Transitive Property of Equality, we can conclude that 5 = 7. However, this specific example leads to a false conclusion because 5 does not equal 7. To correctly illustrate the property with an example that doesn't involve a false conclusion:
1. If a = b
2. And b = c
Then we can conclude that a = c, based on the transitive property.
Keep in mind that statements must be true for the property to hold; my initial example was intentionally incorrect to demonstrate that the property must be used with true statements.