How do you solve #abs(x-3)>7#?
When working with absolute value problems, we need to keep in mind that while the value of the term inside the absolute value might be negative, the absolute value will always return a positive value. Because of this, we need to evaluate both the positive and negative possibility:
(Remember that when multiplying or dividing by a negative number on both sides of an equality, we need to flip flop the inequality sign):
Putting it together
We now have the values that
To graph this, place hollow dots around the numbers