What Hobbes means in the quote found in the attached file is that we may lay down our right to attack others. The only way to achieve peace is by letting others know that you are not a threat. However, that will only work if everyone involved is willing to the same. If someone thinks the other is lying, the threat will remain, and peace will not be attained. That is why the State is necessary, since it has the power to make sure everyone will stay safe.
