“in righteousness.” In this context, “righteousness” is doing what is right to God and others. [For more on “righteousness” having the meaning of doing what is right or just (“justice”), see commentary on Matt. 5:6].
“rulers will govern with justice.” When Christ sets up his kingdom on earth, he will be assisted in governing the earth by people who have been faithful to him (see commentary on Jer. 23:4). [For more on Christ’s future kingdom on earth, see Appendix 3, “Christ’s Future Kingdom on Earth”].