You can make sure that the source code is compatible with certain JDK, but should generate class files for use on another version of JDK. Why you would do this is another matter .
I think default Gradle uses installed JDK versions, isn’t?
sourceCompatibility is a way to declare which version of Java your source code is compatible with. This has many implications, like telling the compiler which rules should apply to parse the code (for instance, enum started to be a reserved keyword only in Java5+) or how the IDE that integrates with your Gradle script should set up your project class path (for instance, if sourceCompatibility = 1.7, it should bind your project to a Java 7 JRE).
targetCompatibility, instead, is a way to declare which kind of byte code the compilation process should produce. By default, if not specified, targetCompatibility=sourceCompatibility. If you specify a targetCompatibility lower than sourceCompatibility, you’re trying to do something interesting in theory, but risky in practice, because either at compile time or just at runtime you may incur in “class not found” errors due to class path mismatch between what your source needs and what your compiler/runtime provides.