Question

Select the postulate of equality or inequality that is illustrated.

If a < b and b < 2, then a < 2

the reflexive postulate of equality
comparison postulate
the multiplication postulate of inequality
the symmetric postulate of equality
addition postulate of inequality
the transitive postulate of equality
the transitive postulate of inequality

Answer 1

G.) Transitive Postulate of Inequality

Step-by-step explanation:

Answer 2

Answer: Transitive Postulate of Inequality (last option)

Step-by-step 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.