
Eric M. answered 03/12/15
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For f(x) = x/(x+1), x ranges over all real numbers except x = -1. This can be written x ≠ -1. In interval notation, you could write x < -1 and x > -1.
For f(x) = 7/(x2 -5x + 6), the roots of the quadratic denominator are x = 2 and x = 3. You can write this as x < 2 and 2 < x < 3 and 3 < x.