Work Step by Step
The transitive property of inequality says that if $a\lt b$ and $b\lt c$ then $a\lt c$. This inequality can also be written as $a\lt b\lt c$, which presents the terms from least to greatest. If you assume that each name represents the person's height, the transitive property can be applied to the question of who is tallest. Amy $\lt$ Greg $\lt$Lisa You can see that Amy is shorter than Lisa. Lisa is the tallest. Amy is the shortest. Greg's height is between their heights.