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If |x| > MORE THAN a positive number, it is
An or problem
If |x| < LESS THAN a positive number
An AND problem
If |x| is LESS THAN a negative number
Then this is no solution
If |x| is MORE THAN a negative number
Then the answer is All Real Numbers
If |-x| is LESS THAN a positive number
Then it is an AND problem
If |-x| is MORE THAN a positive number
It is an OR problem