What are the innate and adaptive immune systems and how do their roles overlap?

In our bodies we have a host of cells that make up our immune system. The immune system itself can be divided into the innate and adaptive immune response. If we use an analogy, the innate immune system acts like a police officer, who looks for typical suspicious behaviour and intervenes at the sight of clear trouble. In real terms cells called macrophages and neutrophils are programmed to look for common foreign proteins that occur the surface of pathogens (bacteria or parasites) or virally infected cells. Once these cells identify foreign surface markers they begin damaging or even phagocytosing them - to phagocytose is essentially a lot like eating the the cell that is infected- I've drawn a diagram underneath to show this (I would include this in the session). This helps keep the body clear of simple pathogens.
Now the adaptive immune system is slightly different, still part of the police force but instead they are the detectives. They receive evidence from other cells known as antigen presenting cells - the term antigen means "toxin or other foreign substance that induces an immune response" - this evidence is often the markers on the surface of the pathogen. The adaptive cells - T and B-cells, then mobilise at the lymph nodes creating alarm signals through the production of chemicals known as cytokines, which cause the cells to attempt to create the perfect defence against the pathogen. This includes the production of proteins known as antibodies; proteins that stick to and identify harmful cells, ultimately ending in the cells death. Equally the T-cells can directly go out and attack the pathogens/virally infected cells.
From this information we can create a Venn diagram of the roles and function of each parts of the immune system and see how their functions overlap.