Solve and graph the equation.

|x| = 12

1 answer

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
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