How does one solve a set word problem

Question 1

Step 1 is..

Answer 1

Identify the universal set and two subsets from the given information

Question 2

What abt step 2?

Answer 2

write down the elements in each of the sets found in step 1.

Question 3

Step 3 is basically just…

Answer 3

Determine whether an intersection exists. (If an intersection exists: the total number of elements in the 2 subsets will be greater than the number of elements in the universal set)

Question 4

So what do we do for step 4?

Answer 4

Draw a Venn diagram to represent the information given in the question. (For the universal set we use a rectangle and the subsets we use circles). Fill in the given information on the diagram; start with the intersection

Question 5

What abt step 5?

Answer 5

Using the information from the diagram, covert it to an algebraic equation.

Question 6

Step six is pretty simple

Answer 6

Solve for the unknown in the equation.