diff --git a/INSTALL.md b/INSTALL.md
index 216b72265..465c5b605 100644
--- a/INSTALL.md
+++ b/INSTALL.md
@@ -24,10 +24,10 @@ compile everything from source (see the end of this document).
 
 - opam (instructions [here](https://opam.ocaml.org/doc/Install.html#OSX))
 - Python 2.7
-- Java 1.7 (only needed for the Java analysis)
+- Java >= 1.7 (only needed for the Java analysis)
 - clang in Xcode command line tools. You can install them with the command
   `xcode-select --install` (only needed for the C/Objective-C analysis)
-- Xcode <= 7.0, >= 6.1 (only needed for the C/Objective-C analysis)
+- Xcode >= 6.1 (only needed for the C/Objective-C analysis)
 
 You can install some of these dependencies using
 [Homebrew](http://brew.sh/):
@@ -61,7 +61,7 @@ compile everything from source (see the end of this document).
 - gcc >= 4.7.2
 - opam
 - Python 2.7
-- Java 1.7 (only needed for the Java analysis)
+- Java >= 1.7 (only needed for the Java analysis)
 
 ### How to install the dependencies on Ubuntu 12.04.4 LTS