To solve the equation |x| = 12, we need to find the values of x that satisfy the equation.
If x is positive, then |x| = x. So the equation becomes x = 12.
If x is negative, then |x| = -x. So the equation becomes -x = 12.
For x = 12, we have one solution: x = 12.
For -x = 12, we need to multiply both sides by -1 to solve for x:
-x = 12
x = -12
Therefore, the solutions to the equation |x| = 12 are x = 12 and x = -12.
To graph the equation, we can plot these two points on a number line and draw a line through them to represent all the values of x that satisfy the equation. The graph will look like:
-12————————————0————————————12
Solve and graph the equation.
|x| = 12
1 answer