Sets - Cardinality and Inclusion-Exclusion for Sets

A community centre offers Cooking, Computing and Dancing classes.
\(5\) people signed up for all three classes.
\(15\) people signed up for Cooking and Computing but not Dancing classes.
\(22\) people signed up for Cooking and Dancing but not Computing classes.
\(18\) people signed up for Computing and Dancing but not Cooking classes.
\(34\) people signed up for Cooking class only.
\((x-4)\) people signed up for Computing class only.
\(x\) people signed up for Dancing class only.

1. Copy the Venn diagram and show the number of people in each subset.
2. Given that \(140\) people signed up for at least one class, calculate
   1. the value of \(x\),
   2. the number of people who did not sign up for Computing class.