What is the Solution to This Inequality Problem?

  • Thread starter Thread starter Jin314159
  • Start date Start date
  • Tags Tags
    Inequality
Click For Summary
The discussion centers around a math problem involving the simplification and solution of the inequality (1/x + 1)/(1/x - 1) < 2. Participants clarify that the left-hand side can be simplified to (1+x)/(1-x), but caution that this expression is undefined at x=0. The correct solution to the inequality is found to be x < 1/3 or x > 1, leading to the conclusion that the solution set is (-∞, 0) ∪ (0, 1/3) ∪ (1, ∞). The conversation also touches on the expectations placed on teaching assistants and the challenges of solving problems under time constraints. Overall, the thread emphasizes the importance of understanding the nuances of mathematical expressions and inequalities.
  • #31
can't be 1/3 can be -1 yup..

Still can't be 0 :smile:


Try using 0 in the equation without simplifying if you wonder why..
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K