All the children are at the cinema
All of the green circle representing children is unshaded so we know all the children are at the cinema. This conclusion follows.
None of the adults are at the cinema
Some of the adult circle is unshaded meaning that some of the adults are the cinema: the adults that do not like football. So this conclusion does not follow.
If a club member likes football, they must be an adult
When we look at both the diagrams we have drawn, one possibility is that some of the children do like football. There is also a possibility that children do not like football and only adults like football, however, we do not know which is right. Therefore, we cannot say for sure: “If a club member likes football, they must be an adult”. This conclusion does not follow.
If an adult is at the cinema, they must not like football
This statement is straight forwards as it is exactly what the question stated. The question said: “Some of the adults like football. The rest of the club are at the cinema”. So, the adults at the cinema do not like football. The conclusion is correct.
None of the club members at the cinema like football
This statement does not follow because from our diagram we can see that all of the children circle is unshaded meaning they are at the cinema. We do not know if any of the children like football so this conclusion isn’t necessarily correct. Therefore, this conclusion does not follow.