Nope you shouldn't give up!! . . . nobody should be giving up!!
Yes it's tough, it's a nightmare at times, and yes we slip, we can have periods of sobriety ended abruptly by a drink of alcohol, we've all been there and know that feeling of hopelessness.
But it's not hopeless . . . tomorrow is a new day, and it can be a sober day, tomorrow is the future and it's got nothing to do with happened today!!!