diff --git a/src/manage/installs.py b/src/manage/installs.py
index c9a1be6..c556b99 100644
--- a/src/manage/installs.py
+++ b/src/manage/installs.py
@@ -155,7 +155,10 @@ def get_matching_install_tags(
                 exact_matches.append((i, t))
                 matched_any = True
             elif not tag or tag.satisfied_by(ct):
-                if tag and not companies_match(tag.company, i["company"]):
+                if (
+                    isinstance(tag, CompanyTag)
+                    and not companies_match(tag.company, i["company"])
+                ):
                     fallback_matches.append((i, t))
                     matched_any = True
                 elif i.get("unmanaged"):
diff --git a/src/manage/tagutils.py b/src/manage/tagutils.py
index a94dbd3..8ea2cdf 100644
--- a/src/manage/tagutils.py
+++ b/src/manage/tagutils.py
@@ -219,7 +219,7 @@ def __hash__(self):
         return hash(self._sortkey)
 
     def __eq__(self, other):
-        if other is None:
+        if not isinstance(other, type(self)):
             return False
         if self._company != other._company:
             return False
@@ -232,6 +232,8 @@ def __eq__(self, other):
     def __gt__(self, other):
         if other is None:
             return True
+        if not isinstance(other, type(self)):
+            return False
         if self._company != other._company:
             return self._company > other._company
         if self._sortkey != other._sortkey:
@@ -243,6 +245,8 @@ def __gt__(self, other):
     def matches_bound(self, other):
         if other is None:
             return True
+        if not isinstance(other, type(self)):
+            return False
         if not self._company.startswith(other._company):
             return False
         if other.platform not in (self.platform, ""):
@@ -260,6 +264,8 @@ def matches_bound(self, other):
     def above_lower_bound(self, other):
         if other is None:
             return True
+        if not isinstance(other, type(self)):
+            return False
         if not self._company.startswith(other._company):
             return False
         if other.platform not in (self.platform, ""):
@@ -275,7 +281,7 @@ def above_lower_bound(self, other):
         return True
 
     def __lt__(self, other):
-        if other is None:
+        if not isinstance(other, type(self)):
             return False
         if self._company != other._company:
             return self._company < other._company
@@ -288,6 +294,8 @@ def __lt__(self, other):
     def below_upper_bound(self, other):
         if other is None:
             return True
+        if not isinstance(other, type(self)):
+            return False
         if not self._company.startswith(other._company):
             return False
         if other.platform not in (self.platform, ""):
diff --git a/tests/test_installs.py b/tests/test_installs.py
index f16d7e8..0b809ae 100644
--- a/tests/test_installs.py
+++ b/tests/test_installs.py
@@ -147,6 +147,7 @@ def test_get_install_to_run_with_default_platform(patched_installs):
     assert i["id"] == "PythonCore-2.0-64"
     assert i["executable"].match("python.exe")
 
+
 def test_get_install_to_run_with_default_platform_prerelease(patched_installs2):
     # Specifically testing issue #25, where a native prerelease is preferred
     # over a non-native stable release. We should prefer the stable release
@@ -158,3 +159,12 @@ def test_get_install_to_run_with_default_platform_prerelease(patched_installs2):
     assert i["id"] == "PythonCore-1.0-32"
     i = installs.get_install_to_run("<none>", None, None, default_platform="-arm64")
     assert i["id"] == "PythonCore-1.0-32"
+
+
+def test_get_install_to_run_with_range(patched_installs):
+    i = installs.get_install_to_run("<none>", None, "<=1.0")
+    assert i["id"] == "PythonCore-1.0"
+    assert i["executable"].match("python.exe")
+    i = installs.get_install_to_run("<none>", None, ">1.0")
+    assert i["id"] == "PythonCore-2.0-64"
+    assert i["executable"].match("python.exe")