The assignment you provided includes a variety of questions involving Venn diagrams, set relations, functions, and evaluating equations. Here's a breakdown of the problems:

1. Venn Diagram Problem 1 (Students and Games):

   • 140 students surveyed.
   • 60 like video games, 70 like indoor games, 75 like outdoor games.
   • 30 play indoor and outdoor games.
   • 18 play video games and outdoor games.
   • 42 play video games and indoor games.
   • 8 play all types of games.
   • Questions:
     1. How many students play only outdoor games?
     2. How many students play video games and indoor games, but not outdoor games?

2. Venn Diagram Problem 2 (Women and Movie Genres):

   • Survey of 1000 women.
   • 52% like comedies, 45% like fantasy, 60% like romantic movies.
   • 25% like both comedy and fantasy.
   • 28% like both romantic and fantasy.
   • 30% like both comedy and romantic.
   • 6% like none of the genres.
   • Questions:
     1. How many women like all three genres?
     2. How many women like only one of the three genres?
     3. How many women like at least two of the given genres?

3. Mapping Diagram and Graph:

   • Two sets of points:
     1. {(-2, 3), (4, 5), (6, -5), (-2, 3)}
     2. {(-2, 1), (4, 3), (7, -3)}
   • Determine if they represent a relation and function.

4. Equation Evaluation:

   • Equation: $x = 4y^2 - 2y$
   • Complete the table by evaluating the equation for the given values of $y$.

Would you like me to walk you through the solution process for each of these problems?

Here are five follow-up questions that could expand your understanding of these problems:

1. How is the formula for intersection and union of sets used in solving Venn diagram problems?
2. How do you determine if a relation is a function based on a mapping diagram?
3. What is the best approach to evaluate an equation for multiple values of a variable?
4. How can you use percentages to find actual numbers in survey results?
5. What are the steps to correctly draw a Venn diagram with three sets?

Tip: When working with Venn diagrams, it helps to start by filling in the information from the innermost region (those belonging to all sets) and work your way outward to ensure no overlaps are missed.