Question

Select the postulate of equality or inequality that is illustrated.

Answer 1

Answer: Transitive Postulate of Inequality (last option)

Explanation:

Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation $A \to B \to C$. If all we cared about was the first and last cities, then we basically say $A \to C$ taking a shortcut so to speak.

This analogy is useful to describe the transitive property.

The equality version is where if we had a = b and b = c, then a = c.

The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.

In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.

It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.