More than 7 million jobs in the American economy remained vacant in September, comfortably outnumbering the roughly 6 million workers seeking employment. The number of job openings dropped slightly from the previous month’s record of 7.3 million to 7.125 million, according to the Labor Department. The number of unemployed people actively seeking jobs inched up slightly in October to 6.08 million. Health care and social assistance industries witnessed the biggest increase in vacancies. Professional and business services had the largest decline.