define morality:
Morality (from the Latin moralitas "manner, character, proper behavior") is the differentiation among intentions, decisions, and actions between those that are good (or right) and bad (or wrong). A moral code is a system of morality (for example, according to a particular philosophy, religion, culture, etc.) and a moral is any one practice or teaching within a moral code. The adjective moral is synonymous with "good" or "right." Immorality is the active opposition to morality (i.e. good or right), while amorality is variously defined as an unawareness of, indifference toward, or disbelief in any set of moral standards or principles.
In this sense morality is definitely relative, each person has a set of morals that, although may be similar to others, will have differences.
A perfect example of this is the ends vs means question. While many people view reaching a moral end through immoral means to be immoral, others view it as immoral to not try to reach that moral end. (we had this debate in one of Obis philo questions of the week a while back)
Another one is politics: The communists feel that it is immoral to have lots of wealth when others have none, and the capitalists fee it is immoral to give wealth to those who didn't earn it. For those sets of ideals, most people vote based on moral thinking. The left votes one way because they feel the other side is immoral and the right vote one way normally because they feel the left is immoral (In my case I try to exclude myself from the morality debate, which is actually very ironic cause when playing diplomacy my morals dictate my actions, when debating politics I ignore moral thinking. I guess when it comes down to it, if I ever become a leader, would I really be as machiavellian as I hope to be, given how I refuse to be in diplomacy) or because they think we can't afford to be moral (whether that is true is also debatable).