From 2d3de6ed1a8e6eae3df6e4832f41abd827d4becb Mon Sep 17 00:00:00 2001 From: Pepsi Date: Mon, 24 Jul 2023 22:11:19 +1000 Subject: [PATCH] part e --- q2/e.md | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/q2/e.md b/q2/e.md index 01c0f3f..0765098 100644 --- a/q2/e.md +++ b/q2/e.md @@ -1 +1,9 @@ -### +### Part E + +> Is $\star$ an equivalence relation, a partial order, both, or neither? + +A relation is an equivalence relation if it is reflexive, symmetric and transitive. It was shown in parts A, B, and D that $\star$ meets these criteria. + +A relation is a partial order if it is reflexive, anti-symmetric, and transitive. It was shown in parts A, B, and C that $\star$ meets these criteria. + +Therefore, $\star$ is both an equivalence relation and a partial order.