- #1

- 93

- 0

## Homework Statement

Solve (x+2)/(x+1) -2 < 0

## Homework Equations

LCD: x + 1

## The Attempt at a Solution

(x+2-2x-2)/(x+1) < 0

(-x )/(x+1) < 0

But somehow, I got the wrong answer. The answer is (4, 7]. But I don't know where I went wrong.

- Thread starter priscilla98
- Start date

- #1

- 93

- 0

Solve (x+2)/(x+1) -2 < 0

LCD: x + 1

(x+2-2x-2)/(x+1) < 0

(-x )/(x+1) < 0

But somehow, I got the wrong answer. The answer is (4, 7]. But I don't know where I went wrong.

- #2

- 93

- 0

- #3

eumyang

Homework Helper

- 1,347

- 10

[tex]\frac{x+2}{x+1} -2 < 0[/tex]

Because that's what I'm interpreting.

Furthermore, according to WolframAlpha, the solution to what I typed above is

(-∞, -1) U (0, ∞), not (4, 7].

69

- #4

- 93

- 0

Your right, its not absolute inequalities. It's rational equalities.

Okay, thanks a lot for answering this question. I really do appreciate it.

- Last Post

- Replies
- 5

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 560

- Last Post

- Replies
- 5

- Views
- 2K

- Last Post

- Replies
- 10

- Views
- 1K

- Last Post

- Replies
- 5

- Views
- 870

- Last Post

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 9

- Views
- 2K

- Last Post

- Replies
- 7

- Views
- 2K

- Last Post

- Replies
- 6

- Views
- 15K

- Last Post

- Replies
- 5

- Views
- 1K