diff --git a/core/trino-main/src/test/java/io/trino/sql/TestExpressionInterpreter.java b/core/trino-main/src/test/java/io/trino/sql/TestExpressionInterpreter.java
index 8e1a721e72c4..a2b6741a6979 100644
--- a/core/trino-main/src/test/java/io/trino/sql/TestExpressionInterpreter.java
+++ b/core/trino-main/src/test/java/io/trino/sql/TestExpressionInterpreter.java
@@ -396,6 +396,8 @@ public void testBetween()
         assertOptimizedEquals("NULL BETWEEN 2 AND 4", "NULL");
         assertOptimizedEquals("3 BETWEEN NULL AND 4", "NULL");
         assertOptimizedEquals("3 BETWEEN 2 AND NULL", "NULL");
+        assertOptimizedEquals("2 BETWEEN 3 AND NULL", "false");
+        assertOptimizedEquals("8 BETWEEN NULL AND 6", "false");
 
         assertOptimizedEquals("'cc' BETWEEN 'b' AND 'd'", "true");
         assertOptimizedEquals("'b' BETWEEN 'cc' AND 'd'", "false");
diff --git a/docs/src/main/sphinx/functions/comparison.rst b/docs/src/main/sphinx/functions/comparison.rst
index ebe334708284..886e08630da0 100644
--- a/docs/src/main/sphinx/functions/comparison.rst
+++ b/docs/src/main/sphinx/functions/comparison.rst
@@ -50,7 +50,7 @@ expression above::
 
     SELECT 2 BETWEEN NULL AND 6; -- null
 
-    SELECT 2 BETWEEN 1 AND NULL; -- false
+    SELECT 2 BETWEEN 3 AND NULL; -- false
 
     SELECT 8 BETWEEN NULL AND 6; -- false