What does following righteousness mean in the Christian life?

In the Christian life, following righteousness goes beyond mere moral behavior; it signifies an intentional pursuit of a life in alignment with God's will. As Paul continues in 1 Timothy 6:11, believers are called to follow after righteousness, godliness, faith, love, patience, and meekness. This pursuit of righteousness is rooted in the believer's identity in Christ, who imputes His righteousness to them through faith. It also encompasses active participation in sanctification, as believers are called to live out their faith through obedience, thereby glorifying God in their daily lives.