diff --git a/src/bracketing/bisection.jl b/src/bracketing/bisection.jl
index adcf72a..75069ae 100644
--- a/src/bracketing/bisection.jl
+++ b/src/bracketing/bisection.jl
@@ -40,7 +40,7 @@ function SciMLBase.solve(prob::IntervalNonlinearProblem, alg::Bisection,
     end
 
     if sign(fl) == sign(fr)
-        @warn "The interval is not an enclosing interval, opposite signs at the boundaries are required."
+        @warn "The interval is not an enclosing interval (does not contain a root). Returning boundary value."
         return build_solution(
             prob, alg, left, fl; retcode = ReturnCode.InitialFailure, left, right)
     end
diff --git a/src/bracketing/brent.jl b/src/bracketing/brent.jl
index 4ba311f..ec208f9 100644
--- a/src/bracketing/brent.jl
+++ b/src/bracketing/brent.jl
@@ -27,7 +27,7 @@ function SciMLBase.solve(prob::IntervalNonlinearProblem, alg::Brent, args...;
     end
 
     if sign(fl) == sign(fr)
-        @warn "The interval is not an enclosing interval, opposite signs at the boundaries are required."
+        @warn "The interval is not an enclosing interval (does not contain a root). Returning boundary value."
         return build_solution(
             prob, alg, left, fl; retcode = ReturnCode.InitialFailure, left, right)
     end
diff --git a/src/bracketing/falsi.jl b/src/bracketing/falsi.jl
index 00b2970..ed1aceb 100644
--- a/src/bracketing/falsi.jl
+++ b/src/bracketing/falsi.jl
@@ -26,7 +26,7 @@ function SciMLBase.solve(prob::IntervalNonlinearProblem, alg::Falsi, args...;
     end
 
     if sign(fl) == sign(fr)
-        @warn "The interval is not an enclosing interval, opposite signs at the boundaries are required."
+        @warn "The interval is not an enclosing interval (does not contain a root). Returning boundary value."
         return build_solution(
             prob, alg, left, fl; retcode = ReturnCode.InitialFailure, left, right)
     end
diff --git a/src/bracketing/itp.jl b/src/bracketing/itp.jl
index 9405cc2..2cc98f0 100644
--- a/src/bracketing/itp.jl
+++ b/src/bracketing/itp.jl
@@ -77,7 +77,7 @@ function SciMLBase.solve(prob::IntervalNonlinearProblem, alg::ITP, args...;
     end
 
     if sign(fl) == sign(fr)
-        @warn "The interval is not an enclosing interval, opposite signs at the boundaries are required."
+        @warn "The interval is not an enclosing interval (does not contain a root). Returning boundary value."
         return build_solution(
             prob, alg, left, fl; retcode = ReturnCode.InitialFailure, left, right)
     end
diff --git a/src/bracketing/ridder.jl b/src/bracketing/ridder.jl
index 772f568..5c27a10 100644
--- a/src/bracketing/ridder.jl
+++ b/src/bracketing/ridder.jl
@@ -26,7 +26,7 @@ function SciMLBase.solve(prob::IntervalNonlinearProblem, alg::Ridder, args...;
     end
 
     if sign(fl) == sign(fr)
-        @warn "The interval is not an enclosing interval, opposite signs at the boundaries are required."
+        @warn "The interval is not an enclosing interval (does not contain a root). Returning boundary value."
         return build_solution(
             prob, alg, left, fl; retcode = ReturnCode.InitialFailure, left, right)
     end