True and not true. While Jesus walked the earth, we were still under the Old Covenant. I believe He explained the insidious nature of sin, and our inability to avoid it in our human condition, to ensure we would understand that without His upcoming intervention, we were all doomed.
When we are told that, "Blessed are the poor in spirit..." it is taken to mean that, even after we are saved by His Blood and our acknowledgment/acceptance of Him as our Savior, we will suffer the same trials Paul's so eloquently stated when he lamented that he was constantly doing that which he would not do and not doing that which he would do. In other words, even being saved, and having direct contact with the risen Lord, he was unable to keep from sinful acts and maintain full obedience to the Will of God. he was blessed because he recognized and agonized over this shortcoming.
Being saved doesn't mean we never commit sinful acts, it means we have been forgiven for them and are much more aware of our unworthiness - we are worthy only because He has made us so, despite our failings.
Prophesy told us that God would set a New Covenant where He would forgive our wickedness and recognize our sins no more. If you take everything Jesus told us (while under the Old Covenant) and try to apply it to even those who have accepted Him, then there would still be nobody with Heaven in their future.
About the only unforgivable sin is to blaspheme the Holy Spirit and there is a lot of questions about whether someone who has accepted Christ is capable of committing that one particular sin.
“Being saved doesn’t mean we never commit sinful acts,”
This is true; I don’t mean to imply otherwise.
It does mean, however, that we don’t continue in sin. The entire book of 1st John, quite short, addresses this over and over. If we say we are in Christ, and sin unrepentantly, we are liars.
Some on this thread seem to be saying the viewing pornography is not a sin. They are seriously wrong. Anyone doing so should stop, and if they “fall,” should repent, not pretend that it is ok with God.