diff --git a/app/src/main/java/eu/darken/capod/main/ui/overview/cards/DualPodsCard.kt b/app/src/main/java/eu/darken/capod/main/ui/overview/cards/DualPodsCard.kt
index 7d4cc079..0fc6d07a 100644
--- a/app/src/main/java/eu/darken/capod/main/ui/overview/cards/DualPodsCard.kt
+++ b/app/src/main/java/eu/darken/capod/main/ui/overview/cards/DualPodsCard.kt
@@ -513,6 +513,7 @@ private fun CaseChargesLine(
     val text = when (charges.display) {
         CaseCharges.Display.EMPTY -> stringResource(R.string.battery_case_charges_empty)
         CaseCharges.Display.LESS_THAN_ONE -> stringResource(R.string.battery_case_charges_less_than_one)
+        CaseCharges.Display.UNCERTAIN -> stringResource(R.string.battery_case_charges_uncertain)
         CaseCharges.Display.AT_LEAST -> pluralStringResource(
             R.plurals.battery_case_charges_at_least,
             charges.count,
diff --git a/app/src/main/java/eu/darken/capod/monitor/core/battery/CaseCharges.kt b/app/src/main/java/eu/darken/capod/monitor/core/battery/CaseCharges.kt
index 95f0822b..b272dcfe 100644
--- a/app/src/main/java/eu/darken/capod/monitor/core/battery/CaseCharges.kt
+++ b/app/src/main/java/eu/darken/capod/monitor/core/battery/CaseCharges.kt
@@ -14,6 +14,9 @@ data class CaseCharges(
         /** Nothing left to give — distinct from [LESS_THAN_ONE], which still implies some charge. */
         EMPTY,
         LESS_THAN_ONE,
+
+        /** No number at all: an open-ended interval that has not yet reached a full charge. */
+        UNCERTAIN,
         AT_LEAST,
         APPROXIMATE,
     }
@@ -32,6 +35,10 @@ data class CaseCharges(
  *
  * A spec that is itself a lower bound has no upper end, so it can never claim "not enough".
  *
+ * The wording follows the whole interval, not its pessimistic end: an uncertain one rounds to a
+ * single charge, or names no number at all ([CaseCharges.Display.UNCERTAIN]) when the spec is a
+ * lower bound and there is no upper end to round from.
+ *
  * Null when the model publishes no case figures or the reading is missing or nonsense — the caller
  * shows no line at all rather than a neutral one.
  */
@@ -50,13 +57,23 @@ fun caseCharges(spec: PodModel.CaseSpec?, reading: BatteryReading?): CaseCharges
         else -> CaseCharges.Adequacy.UNCERTAIN
     }
 
-    val count = floor(lowest).toInt()
+    val floored = floor(lowest).toInt()
+
     val display = when {
         reading.percent == 0f -> CaseCharges.Display.EMPTY
-        count < 1 -> CaseCharges.Display.LESS_THAN_ONE
+        adequacy == CaseCharges.Adequacy.NOT_ENOUGH -> CaseCharges.Display.LESS_THAN_ONE
+        adequacy == CaseCharges.Adequacy.UNCERTAIN && spec.isLowerBound -> CaseCharges.Display.UNCERTAIN
+        adequacy == CaseCharges.Adequacy.UNCERTAIN -> CaseCharges.Display.APPROXIMATE
         spec.isLowerBound -> CaseCharges.Display.AT_LEAST
         else -> CaseCharges.Display.APPROXIMATE
     }
 
+    val count = when {
+        reading.percent == 0f -> 0
+        adequacy == CaseCharges.Adequacy.NOT_ENOUGH -> 0
+        adequacy == CaseCharges.Adequacy.UNCERTAIN && !spec.isLowerBound -> 1
+        else -> floored
+    }
+
     return CaseCharges(count = count, display = display, adequacy = adequacy)
 }
diff --git a/app/src/main/res/values/strings.xml b/app/src/main/res/values/strings.xml
index 87112615..d0c8a415 100644
--- a/app/src/main/res/values/strings.xml
+++ b/app/src/main/res/values/strings.xml
@@ -287,6 +287,8 @@
     </plurals>
     <string name="battery_case_charges_less_than_one">Less than one more full charge for both earbuds</string>
     <string name="battery_case_charges_empty">Case is empty, no charges left for your earbuds</string>
+    <!-- Shown when the case reading is too coarse to name any number of charges. Must not mention a count. -->
+    <string name="battery_case_charges_uncertain">Not sure how many full charges are left for both earbuds</string>
     <string name="battery_case_charges_state_enough_cd">Enough for a full charge</string>
     <string name="battery_case_charges_state_not_enough_cd">Not enough for a full charge</string>
     <string name="battery_case_charges_state_uncertain_cd">May not be enough for a full charge</string>
diff --git a/app/src/test/java/eu/darken/capod/main/ui/overview/cards/CaseChargesLineTest.kt b/app/src/test/java/eu/darken/capod/main/ui/overview/cards/CaseChargesLineTest.kt
index e0df3396..ce8dd8c7 100644
--- a/app/src/test/java/eu/darken/capod/main/ui/overview/cards/CaseChargesLineTest.kt
+++ b/app/src/test/java/eu/darken/capod/main/ui/overview/cards/CaseChargesLineTest.kt
@@ -92,11 +92,19 @@ class CaseChargesLineTest : BaseComposeRobolectricTest() {
     }
 
     @Test
-    fun `a reading astride a full charge claims nothing`() {
+    fun `a reading astride a full charge rounds to one`() {
         setCard(device(case = 0.20f))
 
+        assertAdequacy(charges(1), R.string.battery_case_charges_state_uncertain_cd)
+    }
+
+    @Test
+    fun `an open ended spec below a full charge names no number`() {
+        // AirPods (Gen 1) publish a lower bound, so 3.8 x 0.10 has no upper end to round to
+        setCard(device(case = 0.10f, model = PodModel.AIRPODS_GEN1))
+
         assertAdequacy(
-            context.getString(R.string.battery_case_charges_less_than_one),
+            context.getString(R.string.battery_case_charges_uncertain),
             R.string.battery_case_charges_state_uncertain_cd,
         )
     }
diff --git a/app/src/test/java/eu/darken/capod/monitor/core/battery/CaseChargesTest.kt b/app/src/test/java/eu/darken/capod/monitor/core/battery/CaseChargesTest.kt
index 1a763afe..4b305f26 100644
--- a/app/src/test/java/eu/darken/capod/monitor/core/battery/CaseChargesTest.kt
+++ b/app/src/test/java/eu/darken/capod/monitor/core/battery/CaseChargesTest.kt
@@ -107,10 +107,36 @@ class CaseChargesTest : BaseTest() {
     @Test
     fun `below a full charge renders as less than one`() {
         charges(exact, 0.20f, percent)!!.display shouldBe CaseCharges.Display.LESS_THAN_ONE
-        charges(lowerBound, 0.20f, percent)!!.display shouldBe CaseCharges.Display.LESS_THAN_ONE
         charges(exact, 0.01f, percent)!!.display shouldBe CaseCharges.Display.LESS_THAN_ONE
     }
 
+    @Test
+    fun `an interval straddling one charge rounds to one instead of claiming less`() {
+        // 4.0 x 0.20 = 0.8, 4.0 x 0.30 = 1.2 — the text must not deny what the interval allows
+        val straddle = charges(exact, 0.20f, decile)!!
+        straddle.display shouldBe CaseCharges.Display.APPROXIMATE
+        straddle.count shouldBe 1
+    }
+
+    @Test
+    fun `an uncertain lower bound spec names no number`() {
+        // 3.8 x 0.10 = 0.38 with no upper end, so neither "less than one" nor "~1" is supportable
+        val vague = charges(lowerBound, 0.10f, decile)!!
+        vague.adequacy shouldBe CaseCharges.Adequacy.UNCERTAIN
+        vague.display shouldBe CaseCharges.Display.UNCERTAIN
+
+        charges(lowerBound, 0.20f, percent)!!.display shouldBe CaseCharges.Display.UNCERTAIN
+    }
+
+    @Test
+    fun `a lower bound spec that reaches enough still counts`() {
+        val enough = charges(lowerBound, 0.50f, decile)!!
+        enough.adequacy shouldBe CaseCharges.Adequacy.ENOUGH
+        enough.display shouldBe CaseCharges.Display.AT_LEAST
+        // 3.8 x 0.50 = 1.9
+        enough.count shouldBe 1
+    }
+
     @Test
     fun `an empty case renders as empty`() {
         charges(exact, 0f, percent)!!.display shouldBe CaseCharges.Display.EMPTY