What's a Set?

1. Braces are the curly brackets that contain the elements of a set
1. The replacement set is the set you are usually given in a problem
1. The solution set is the set you are looking for in a problem
2. To find the solution set, take each element in the replacement set and plug it into the original statement
3. The values that make the statement true are the elements of the solution set
1. The statement we are working with for this example is x>5
2. The inequality symbol > means "greater than"
1. The replacement set is given to us in the problem
2. These are the possible values for the variable x in our inequality x>5
1. The values from the replacement set that are greater than 5 will make the statement true
2. These will be the elements of the solution set
1. Plug each value from the replacement set into the inequality x>5
2. Since 10 is greater than 5, it is an element in the solution set
3. Since 20 is greater than 5, it is an element in the solution set
1. Since 10 and 20 are greater than 5, they make the inequality x>5 true
2. So 10 and 20 are the elements of our solution set

Definitions: Set