What are the problems with accepting Cultural Relativism?

We could no longer condemn, or criticize, the moral codes of other societies, regardless of how we feel about them or how, we believe, they violate moral law. we could not consider any society morally inferior (or reprehensible) to our own 2. we could only determine what actions are right or wrong simply by consulting our own societys moral code. the issue with this is that it is rarely thought that our societys moral code is perfect3. the idea of moral progress is called into doubt. we could no longer condemn unjust old moral codes (such as those that allowed the mistreatment of women and blacks) by the standards of a different time (our time)4. there is less disagreement about societal codes across cultures than it originally seems. for example, in a society where it is seen as morally reprehensible to eat a cow, the reasoning behind abiding by such a code is similar to the reasoning we exercise when we adhere to the code do not eat other people