Android's Media Scanner: How do I remove files?

I was able to put a method together using bits and pieces from these two questions

1. What is the String 'volumeName' argument of MediaStore.Audio.Playlists.Members.getContentUri referring to?
2. How can I refresh MediaStore on Android?

Basically I just run a query on each one of the MediaStore types (Audio, Video and Images) selecting by path and deleting any records I find.

public static void RemoveAllForPaths(String[] paths, Context context)
{
    private static final String[] FIELDS = { MediaStore.MediaColumns._ID, MediaStore.MediaColumns.DATA, MediaStore.MediaColumns.TITLE };
    if(paths == null || paths.length == 0) return;
    String select = "";
    for(String path : paths)
    {
        if(!select.equals("")) select += " OR ";
        select += MediaStore.MediaColumns.DATA + "=?";
    }

    Uri uri;
    Cursor ca;

    uri = MediaStore.Audio.Media.EXTERNAL_CONTENT_URI;
    ca = context.getContentResolver().query(uri, FIELDS, select, paths, null);
    for(ca.moveToFirst(); !ca.isAfterLast(); ca.moveToNext()){
        int id = ca.getInt(ca.getColumnIndex(MediaStore.MediaColumns._ID));
        uri = ContentUris.withAppendedId(MediaStore.Audio.Media.EXTERNAL_CONTENT_URI, id);
        context.getContentResolver().delete(uri, null, null);
    }
    ca.close();

    // More of the same just setting the URI to Video and Images
}

I'm not entirely sure how safe this is to do but it's the only solution I've found so far and some initial testing seems to be working. I invite others to submit other answers if anyone has any further information on this approach or a better method for performing this functionality.

Easy as pie: whenever you add a file, let MediaStore ContentProvider knows about it using

sendBroadcast(new Intent(Intent.ACTION_MEDIA_SCANNER_SCAN_FILE, Uri.fromFile(fileToAddInMediaStore)));

For deletion: just use

getContentResolver().delete(Uri.fromFile(fileToDeleteFromMediaStore), null, null)

Answer of Spencer Ruport is right, but you don't need to query and open a cursor in order to delete. So for one file that is music file the code is simple like that:

public void DeleteMP3FromMediaStore( Context context, String path )
{
    Uri rootUri = MediaStore.Audio.Media.getContentUriForPath( path );

    context.getContentResolver().delete( rootUri, 
        MediaStore.MediaColumns.DATA + "=?", new String[]{ path } );
}

P.S. I wanted to comment answer of Spencer Ruport but don't have enough reputation yet.