What's a Solution Set?

If you plug any of the ordered pairs in a solution set into the equation, you should get a true statement
Plug each ordered pair into the equation to see if it makes a true statement
-2=2(0)-2=-2 is a true statement
4=2(3)-2=4 is a true statement
-8=2(-3)-2=-8 is a true statement
2=2(2)-2=2 is a true statement
Since all the ordered pairs make true statements when plugged in, they are the elements of the solution set

1. If you take an ordered pair from the solution set and plug it into the equation, it should make a true statement
1. y=2x-2 is the equation for our solution set
1. We need ordered pairs because we have two variables, so we need values for both x and y
1. Plug (0,-2) into the equation to get -2=2(0)-2
2. Simplifying gives us -2=-2, which is a true statement
3. Plug (3,4) into the equation to get 4=2(3)-2
4. Simplifying gives us 4=4, which is a true statement
5. Plug (-3,-8) into the equation to get -8=2(-3)-2
6. Simplifying gives us -8=-8, which is a true statement
7. Plug (2,2) into the equation to get 2=2(2)-2
8. Simplifying gives us 2=2, which is a true statement
1. This means that these ordered pairs are solutions to our equation
1. So the set of all the possible solutions is the SOLUTION SET

Definition: Solution Set