(x+1)/(x+1) - (x)/(x+1) > (2)/(x^(2)-1)

Question

`(x+1)/(x+1)` -
`(x)/(x+1)` >
`(2)/(x^(2)-1)`

Answer 1

x > 3

Have a good day :D

Answer 2

The answer to your question is x > 3

Explanation:

Inequality

`(x + 1)/(x + 1) - (x)/(x + 1) > (2)/(x^(2) - 1)`

-Sum up the left side of the inequality

`(x+ 1 - x)/(x + 1) > (2)/(x^(2) - 1)`

-Simplify

`(1)/(x + 1) > (2)/(x^(2) -1)`

-Multiply both sides by x² - 1

`(x^(2)- 1 )/(x +1) > (2(x^(2) - 1))/(x^(2) - 1)`

-Simplify

`((x + 1)(x - 1))/(x + 1) > 2`

x - 1 > 2

-Solve for x

x > 2 + 1

-Conclusion

All the numbers higher than 3

x > 3