In the Bible, Eve was the mother of Cain and Abel, and Adam was their father. The brothers are known for differing reasons; Cain for committing the first murder and Abel for being the first murder victim in the Bible.
Eve, along with Adam, raised her children to follow the laws of God through making sacrifices to demonstrate worship. In one instance, Abel's sacrifice to God was accepted, but Cain's sacrifice was not deemed to be of standard, possibly due to his poor attitude.
Jealousy filled Cain's heart after being rejected by God, so he killed his younger brother Abel in a fit of rage. God punished Cain for this by placing a curse upon him.