diff --git a/lib/palindrome_check.rb b/lib/palindrome_check.rb
index d60efd0..906794a 100644
--- a/lib/palindrome_check.rb
+++ b/lib/palindrome_check.rb
@@ -1,5 +1,28 @@
 # A method to check if the input string is a palindrome.
 # Return true if the string is a palindrome. Return false otherwise.
 def palindrome_check(my_phrase)
-  raise NotImplementedError
+  if my_phrase == nil
+    return false
+  end
+  i = 0
+  j = my_phrase.length - 1
+  while i < j
+    if my_phrase[i] == " " || my_phrase[j] == " "
+      until my_phrase[i] != " "
+        i += 1
+      end
+      until my_phrase[j] != " "
+        j -= 1
+      end
+    elsif my_phrase[i] != my_phrase[j]
+      return false
+    end
+    i += 1
+    j -= 1
+  end
+  return true
 end
+
+
+# time complexity: O(n) because it must iterate through each element in the array
+# space complexity: O(1) because it does not require any additional memory space besides the iteration variables