Genesis 3 v20-24 demonstrates God's great mercy as the first steps of His salvation plan occur, steps which point towards the sacrifice of Jesus that would make a way back into God's holy presence and restore paradise lost.

Genesis 3:20–24

20 The man called his wife’s name Eve, because she was the mother of all living.¹ 21 And the LORD God made for Adam and for his wife garments of skins and clothed them.

22 Then the LORD God said, “Behold, the man has become like one of us in knowing good and evil. Now, lest he reach out his hand and take also of the tree of life and eat, and live forever—” 23 therefore the LORD God sent him out from the garden of Eden to work the ground from which he was taken. 24 He drove out the man, and at the east of the garden of Eden he placed the cherubim and a flaming sword that turned every way to guard the way to the tree of life.

Footnotes

[1] 3:20 Eve sounds like the Hebrew for life-giver and resembles the word for living

(ESV)