Question 903850
That "or" should be "and". This is because |x| < k turns into "x < k and x > k" for some positive number k.


You should end up with "x&#8805;1/2 and x&#8804;9/2" (again notice the "and")


Combining the two gives you 1/2&#8804;x&#8804;9/2


Side Note: x&#8805;1/2 is the same as 1/2&#8804;x. Everything is just flipped.