Substitute each value from the replacement set one at a time into the equation to verify if it is true or false.
{- 2}
Practice makes perfect
We want to verify if any values contained in the replacement set are solutions of this equation. We will replace the variable with each value from the set and check if the equation is true for any of them.
x
6x=- 12
Simplify
True or False?
- 3
6( - 3) ? =- 12
- 18 ≠- 12
False
- 2
6( - 2) ? =- 12
- 12 = - 12
True
- 1
6( - 1) ? =- 12
- 6 ≠- 12
False
0
6( 0) ? =- 12
0 ≠- 12
False
1
6( 1) ? =- 12
6 ≠- 12
False
2
6( 2) ? =- 12
12 ≠- 12
False
3
6( 3) ? =- 12
18 ≠- 12
False
The equation is true when x=- 2. Therefore, the solution set is {- 2}.
