In concurrent data structures, the efficiency of set operations can vary significantly depending on the workload characteristics. Numerous concurrent set implementations are optimized and fine-tuned to excel in scenarios characterized by predominant read operations. However, they often perform poorly when confronted with workloads that heavily prioritize updates. Additionally, current leading-edge concurrent sets optimized for update-heavy tasks typically lack efficiency in handling atomic range queries. This study introduces the MTASet, which leverages a concurrent (a,b)-tree implementation. Engineered to accommodate update-heavy workloads and facilitate atomic range queries, MTASet surpasses existing counterparts optimized for tasks in range query operations by up to 2x. Notably, MTASet ensures linearizability.