Hebrew has several words for doing wrong. One pictures sin as missing the mark, another as a twisting or guilt. This word is the strongest of them, because it pictures sin as rebellion. It carries over the political image of a vassal throwing off his king: to wrong God this way is to renounce his rightful authority and break the relationship on purpose. That is why English Bibles often reach for the heavier word "transgress," and why this term sits at the head of lists of sin, as in the great confession "who forgives wrongdoing and rebellion and sin."
Because the wrong is personal and relational, the prophets almost always phrase it as rebelling against a person: "they have rebelled against me," God says, or the people confess "we have rebelled." It is the language of a betrayed relationship, not of a broken rule.
The same root also names the rebels themselves. As a label for people it ranges from the hardened wrongdoer set against God and doomed to ruin, to a humbler use where the forgiven sinner turns around and teaches other rebels the ways of God. In a few places the word widens past the direct rebellion against God to ordinary moral wrong and even, in one passive use, to a person who has been wronged and is now estranged. The thread running through all of it is a broken bond: a loyalty that should have held but was deliberately cast off.
Nuances
2ato rebel against God: to break covenant faith with the LORD as a betrayed personal relationship.
Isa 1:2Isa 43:27Isa 48:8Isa 59:13Jer 2:8Jer 2:29Jer 3:13Jer 33:8Ezk 2:3Ezk 18:31Ezk 20:38Hos 7:13
2bthe rebels: those who set themselves against God, used as a standing label for sinners.
Psa 37:38Psa 51:13(15)Isa 1:28Isa 46:8Isa 53:12 (2×)*Isa 66:24Dan 8:23Hos 14:9(10)
2cto do moral wrong, to transgress: rebellion widened to ordinary guilt, including being wronged or estranged.
Ezr 10:13Pro 18:19*Pro 28:21Amo 4:4 (2×)*