Hello, Henryt999!

For what positive number is the following statements true?

. . Note that: .

From [1], we have: . .[3]

From [2], we have: . .[4]

[3] tells us that is between and Code:

- - - o = = = = = = o - - -
3-s 3+s

[4] tells us that is between 2 and 6. Code:

- - o = = = = = = = = o - -
2 6

For both statements to be true,

. . the first interval must be "inside" the second interval. Code:

- - - o = = = = = = o - - -
3-s 3+s
- - o = = = = = = = = o - -
2 6

So we have: .

. . which are both true for: .

Therefore, the inequalities are true for: .