The reason they were so upset is that they had a belief that Yahweh “broke” the Sabbath. That is, Yahweh kept the world spinning in its orbit, kept the sun shining or the rain falling, even on the Sabbath day. Thus, in one sense, God was above the Sabbath law because He continued to “work” in maintaining the universe. You can see, then, why Jesus’ words offended them. He claimed the same right for himself!