You should consult local counsel to discuss the facts of your case, review the employment agreement, and the specific non-compete language. Generally, non-competes are valid if (among other things) they are supported by consideration and are reasonably limited to scope and duration. Your agreement may also have an attorneys' fees provision which allows the prevailing party to recover fees and costs if there is a dispute regarding the validity (or invalidity)of the contract terms. Retain local counsel.
Sometimes a non-compete will become unenforceable if the reason for the separation from employment was termination or lay-off. The individual facts of your case, the language of your non-compete and the language contained in any other documents or emails between you and your former employer are all part of the equation and should really be analyzed by a lawyer, especially before you just assume the non-compete is unenforceable.