How do you solve #1/(x-1) <= 1/(2x+1)#?

1 Answer
Vinícius Ferraz
Jun 8, 2017

#x in (-infty, -2] cup (-1/2, 1)#

Explanation:

#frac{1}{x-1} - frac{1}{2x + 1} <= 0#

#frac{2x + 1 - x + 1}{(x - 1)(2x + 1)} <= 0#

The roots are #-2, -1/2, 1#

The signs are: #-# #0# #+# #0# #-# #0# #+#

#x <= -2 or -1/2 < x < 1#

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