But, my dearly loved ones, even though we talk this way, we are persuaded that you will do better than that [i.e., you will not fall away from God], and will end up being saved.

(since the law did not make anything [i.e., anyone] perfect), but on the other hand, there is the introduction of a better hope [which did bring perfection through Christ], by which we draw near to God.

So therefore, Jesus has become the guarantee of a better Agreement [between God and mankind].

But now Jesus has obtained a ministry that is as far superior [to that of the Levitical priesthood] as the [New] Agreement, of which He is the Mediator, is better [than the old one], because it has been enacted on better promises.

Therefore, it was necessary for the copies of the heavenly things [i.e., the Tabernacle, its furniture and utensils, etc.] to be [ceremonially] cleansed by these things [i.e., the blood of animal sacrifices], but the heavenly things themselves [i.e., the church, both on earth and in heaven] require better sacrifices than these [i.e., the sacrifice of Christ].

For you showed sympathy for those who were in prison and accepted it joyfully when your [own] possessions were taken away, [because] you knew that you yourselves had a better and more permanent possession [in heaven].

By [having] faith, Abel offered to God a better sacrifice than Cain did. [And] because of his faith he was commended by God for being righteous, when God expressed approval of his offerings. By means of his faith, Abel still speaks [to us], even though he is dead.

But instead, they longed for a better country, that is, a heavenly one. Therefore, God is not ashamed to be called their God, for He has prepared a city for them.

Women received their dead [loved ones] back to life. Others were tortured but refused to be rescued, so they could obtain a better resurrection.

because God had planned to give us something better [than they got], so that they would not be complete without us. [Note: The idea here is that these faithful people of Old Testament times did not receive the fullest of blessings until Christ came to make them available to both them and us together].

and to Jesus, the Mediator of a New Agreement [between God and mankind], and to the sprinkled blood [of Jesus], which says better things [to us] than [the blood of] Abel did. [Note: The contrast seems to be that "Abel's blood called for vengeance and death (See Gen. 4:10) whereas the blood of Christ provides mercy and life"].