Does Exodus 31:16 say that the Sabbath is for the Jews only?

The text states: “Wherefore the children of Israel shall keep the sabbath, to observe the sabbath throughout their generations, for a perpetual covenant.” It is true that the Jews must observe the Sabbath. However, when God instituted the Sabbath, there was only Adam and Eve, and they were not Jews. Jesus affirmed that the Sabbath is for all man, not just the Jews: “The Sabbath was made for man…