Answer:
x ∈ {6, 7, 8, 9, 10}
Explanation:
You want possible values of whole number x such that ...
4 ≤ √3 +√x < 5
Solution
We can solve this inequality by first subtracting √3 from all sides:
4 -√3 < √x < 5 -√3
Squaring these positive numbers does not change their order:
19 -8√3 < x < 28 -10√3
5.14 < x < 10.67
The value of x may be any whole number in the range 6–10, inclusive.