In the Fall, man truly fell. We call the doctrine: Total Depravity—not because man is as bad as he can be, but because he is now in the condition of inability to obtain blessing from God.
There is some controversy about the covenant made with Adam, and indeed it was a covenant. It is spoken of as such in the minor prophets (though some take Adam to be a place); and it is spoken of as being performed in the Mountain of Eden. God makes covenants on mountains (think Sinai all the way to Mt. Zion)!
Some take the covenant of works (as it the covenant with Adam is called) to be gracious because all covenants made by God are gracious things. And I think there is some strong argument in that matter, but it is most properly put in contrast to the theological covenant of grace, which is unveiled more and more through each biblical covenant following the covenant of works.
Grace would not have been needed for Adam prior to his sinning. So, it makes sense that we look more accurately as stated above that there is a covenant of works and a covenant of grace.
The matter at hand is —from what has man fallen? And man has fallen in terms of from original righteousness, and those things that accompanied it including communion with God. Original righteousness involved the ability to not sin, and the ability not to die. Losing this original righteousness due to sin, man has in Adam lost the peace and joy that he once enjoyed when he walked in the Garden with the Lord in the cool of the day in sweet communion. When in communion with God, man was under God, also lord over the earth. He named the creatures and had dominion over all things entrusted him by God. But the loss of this communion meant loss of this dominion.
The world is in the mess it is in due to man’s loss of communion with God. Get this restored, and you begin to solve the world’s problems. To get this restored, you need grace. You actually have to come to terms with the fact that you can’t do anything to to save it or yourselves. As Brian Borgman writes,
a Biblical view of humanity exalts the salvation of the Gospel…Though the fall and its implications are dark indeed, the darkness is the contrast against which the gospel truly shines.Brian Borgman, “Of the Fall of Man, of Sin, and of the Punishment Thereof” in A New Exposition of the London Baptist Confession of Faith of 1689, Chapter 6
The way you begin to solve the world’s problems, is to begin to solve your problem as a man, as a human being who has fallen in Adam. You begin to solve the world’s problems then not by anything you do, but by coming to terms that it is only what God can do, and will do through His Son Jesus Christ (1 Cor 15).
Once you are made right with God by grace alone through faith alone in Christ alone, you are thus pardoned, united to Christ, redeemed from sin, adopted into God’s family, and you now have within you a fight against sin, and are granted the ability to conquer its power over time for the glory of Christ. And although that conquering will have imperfection on your part in it, it is sure and increasingly joyous as you employ what it is to be a new man, remade after the likeness of Christ who saved you and who is saving you.
You begin solving the world’s problems by conquering the world of sin (cf. 1 John 5:4–5) in your own life by faith in the Son of God. We are thus little cities and towns requiring daily governance and management from the inside out by the power of the Cross.