For what x is #1 / ( x + 3 ) > 2/(x-3)#?
1 Answer
Explanation:
Note that
Split the remaining possibilities into cases:
Case
In either case
#x-3 > 2x+6#
Subtract
#-9 > x#
Combining with the conditions of the case, that gives us the solution:
#x in (-oo, -9)#
Case
#x-3 < 2x+6#
Subtract
#-9 < x#
Combining with the conditions of the case, that gives us the solution:
#x in (-3, 3)#
Conclusion
Putting the two cases together, the original inequality holds for all
#x in (-oo, -9) uu (-3, 3)#