# How do you solve the inequality #|1-x/3|>2/3#?

##### 1 Answer

Dec 1, 2015

Consider each case for the inequality being true to find the solution set

#### Explanation:

We can solve this if we recognize what the absolute value symbol is actually saying. It is equivalent to saying

or

Then all we need to do is find what conditions cause each to be true.

For the first:

For the second:

So one of the conditions, and thus the original inequality, will be true so long as either